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Finding the Fourth Proportional to 584,175.40, 820,057.40 and 584,175.40

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Solution

The fourth proportional to 584,175.40, 820,057.40 and 584,175.40 is: 820,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,175.40 : 820,057.40 = 584,175.40 : x
  2. Step 2: Convert to fraction form
    584,175.40/820,057.40 = 584,175.40/x
  3. Step 3: Cross multiply
    584,175.40x = 820,057.40 × 584,175.40
  4. Step 4: Simplify right side
    584,175.40x = 479,057,359,667.96
  5. Step 5: Solve for x
    x = 479,057,359,667.96/584,175.40
  6. Step 6: Final answer
    x = 820,057.40

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Double scale
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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.