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Finding the Fourth Proportional to 314,347.92, 471,513.24 and 136,854.60

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Solution

The fourth proportional to 314,347.92, 471,513.24 and 136,854.60 is: 205,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,347.92 : 471,513.24 = 136,854.60 : x
  2. Step 2: Convert to fraction form
    314,347.92/471,513.24 = 136,854.60/x
  3. Step 3: Cross multiply
    314,347.92x = 471,513.24 × 136,854.60
  4. Step 4: Simplify right side
    314,347.92x = 64,528,755,854.90
  5. Step 5: Solve for x
    x = 64,528,755,854.90/314,347.92
  6. Step 6: Final answer
    x = 205,278.14

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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.