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Finding the Fourth Proportional to 539,143.40, 808,715.12 and 414,727.40

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Solution

The fourth proportional to 539,143.40, 808,715.12 and 414,727.40 is: 622,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,143.40 : 808,715.12 = 414,727.40 : x
  2. Step 2: Convert to fraction form
    539,143.40/808,715.12 = 414,727.40/x
  3. Step 3: Cross multiply
    539,143.40x = 808,715.12 × 414,727.40
  4. Step 4: Simplify right side
    539,143.40x = 335,396,319,058.29
  5. Step 5: Solve for x
    x = 335,396,319,058.29/539,143.40
  6. Step 6: Final answer
    x = 622,091.12

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.