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Finding the Fourth Proportional to 454,910.20, 681,053.10 and 402,422.20

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Solution

The fourth proportional to 454,910.20, 681,053.10 and 402,422.20 is: 602,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,910.20 : 681,053.10 = 402,422.20 : x
  2. Step 2: Convert to fraction form
    454,910.20/681,053.10 = 402,422.20/x
  3. Step 3: Cross multiply
    454,910.20x = 681,053.10 × 402,422.20
  4. Step 4: Simplify right side
    454,910.20x = 274,070,886,818.82
  5. Step 5: Solve for x
    x = 274,070,886,818.82/454,910.20
  6. Step 6: Final answer
    x = 602,472.50

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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.