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Finding the Fourth Proportional to 414,798.76, 572,476.85 and 233,546.01

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Solution

The fourth proportional to 414,798.76, 572,476.85 and 233,546.01 is: 322,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,798.76 : 572,476.85 = 233,546.01 : x
  2. Step 2: Convert to fraction form
    414,798.76/572,476.85 = 233,546.01/x
  3. Step 3: Cross multiply
    414,798.76x = 572,476.85 × 233,546.01
  4. Step 4: Simplify right side
    414,798.76x = 133,699,684,134.87
  5. Step 5: Solve for x
    x = 133,699,684,134.87/414,798.76
  6. Step 6: Final answer
    x = 322,324.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.