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Finding the Fourth Proportional to 413,688.28, 570,891.90 and 232,407.88

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Solution

The fourth proportional to 413,688.28, 570,891.90 and 232,407.88 is: 320,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,688.28 : 570,891.90 = 232,407.88 : x
  2. Step 2: Convert to fraction form
    413,688.28/570,891.90 = 232,407.88/x
  3. Step 3: Cross multiply
    413,688.28x = 570,891.90 × 232,407.88
  4. Step 4: Simplify right side
    413,688.28x = 132,679,776,188.17
  5. Step 5: Solve for x
    x = 132,679,776,188.17/413,688.28
  6. Step 6: Final answer
    x = 320,724.04

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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.