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Finding the Fourth Proportional to 354,701.20, 532,051.80 and 310,414.46

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Solution

The fourth proportional to 354,701.20, 532,051.80 and 310,414.46 is: 465,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,701.20 : 532,051.80 = 310,414.46 : x
  2. Step 2: Convert to fraction form
    354,701.20/532,051.80 = 310,414.46/x
  3. Step 3: Cross multiply
    354,701.20x = 532,051.80 × 310,414.46
  4. Step 4: Simplify right side
    354,701.20x = 165,156,572,189.03
  5. Step 5: Solve for x
    x = 165,156,572,189.03/354,701.20
  6. Step 6: Final answer
    x = 465,621.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.