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Finding the Fourth Proportional to 695,863.89, 960,275.86 and 409,402.39

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Solution

The fourth proportional to 695,863.89, 960,275.86 and 409,402.39 is: 564,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,863.89 : 960,275.86 = 409,402.39 : x
  2. Step 2: Convert to fraction form
    695,863.89/960,275.86 = 409,402.39/x
  3. Step 3: Cross multiply
    695,863.89x = 960,275.86 × 409,402.39
  4. Step 4: Simplify right side
    695,863.89x = 393,139,232,143.31
  5. Step 5: Solve for x
    x = 393,139,232,143.31/695,863.89
  6. Step 6: Final answer
    x = 564,965.70

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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.