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Finding the Fourth Proportional to 586,585.40, 823,431.40 and 586,585.40

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Solution

The fourth proportional to 586,585.40, 823,431.40 and 586,585.40 is: 823,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,585.40 : 823,431.40 = 586,585.40 : x
  2. Step 2: Convert to fraction form
    586,585.40/823,431.40 = 586,585.40/x
  3. Step 3: Cross multiply
    586,585.40x = 823,431.40 × 586,585.40
  4. Step 4: Simplify right side
    586,585.40x = 483,012,837,141.56
  5. Step 5: Solve for x
    x = 483,012,837,141.56/586,585.40
  6. Step 6: Final answer
    x = 823,431.40

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.