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Finding the Fourth Proportional to 642,276.20, 962,492.70 and 472,471.40

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Solution

The fourth proportional to 642,276.20, 962,492.70 and 472,471.40 is: 708,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,276.20 : 962,492.70 = 472,471.40 : x
  2. Step 2: Convert to fraction form
    642,276.20/962,492.70 = 472,471.40/x
  3. Step 3: Cross multiply
    642,276.20x = 962,492.70 × 472,471.40
  4. Step 4: Simplify right side
    642,276.20x = 454,750,273,458.78
  5. Step 5: Solve for x
    x = 454,750,273,458.78/642,276.20
  6. Step 6: Final answer
    x = 708,029.15

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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.