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Finding the Fourth Proportional to 695,863.64, 960,275.52 and 409,402.14

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Solution

The fourth proportional to 695,863.64, 960,275.52 and 409,402.14 is: 564,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,863.64 : 960,275.52 = 409,402.14 : x
  2. Step 2: Convert to fraction form
    695,863.64/960,275.52 = 409,402.14/x
  3. Step 3: Cross multiply
    695,863.64x = 960,275.52 × 409,402.14
  4. Step 4: Simplify right side
    695,863.64x = 393,138,852,877.61
  5. Step 5: Solve for x
    x = 393,138,852,877.61/695,863.64
  6. Step 6: Final answer
    x = 564,965.37

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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.