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Finding the Fourth Proportional to 471,574.53, 707,449.28 and 156,034.17

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Solution

The fourth proportional to 471,574.53, 707,449.28 and 156,034.17 is: 234,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,574.53 : 707,449.28 = 156,034.17 : x
  2. Step 2: Convert to fraction form
    471,574.53/707,449.28 = 156,034.17/x
  3. Step 3: Cross multiply
    471,574.53x = 707,449.28 × 156,034.17
  4. Step 4: Simplify right side
    471,574.53x = 110,386,260,441.73
  5. Step 5: Solve for x
    x = 110,386,260,441.73/471,574.53
  6. Step 6: Final answer
    x = 234,080.20

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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.