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Finding the Fourth Proportional to 714,751.92, 986,407.92 and 472,613.76

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Solution

The fourth proportional to 714,751.92, 986,407.92 and 472,613.76 is: 652,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,751.92 : 986,407.92 = 472,613.76 : x
  2. Step 2: Convert to fraction form
    714,751.92/986,407.92 = 472,613.76/x
  3. Step 3: Cross multiply
    714,751.92x = 986,407.92 × 472,613.76
  4. Step 4: Simplify right side
    714,751.92x = 466,189,955,964.98
  5. Step 5: Solve for x
    x = 466,189,955,964.98/714,751.92
  6. Step 6: Final answer
    x = 652,240.23

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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.