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Finding the Fourth Proportional to 413,374.32, 570,463.56 and 229,608

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Solution

The fourth proportional to 413,374.32, 570,463.56 and 229,608 is: 316,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,374.32 : 570,463.56 = 229,608 : x
  2. Step 2: Convert to fraction form
    413,374.32/570,463.56 = 229,608/x
  3. Step 3: Cross multiply
    413,374.32x = 570,463.56 × 229,608
  4. Step 4: Simplify right side
    413,374.32x = 130,982,997,084.48
  5. Step 5: Solve for x
    x = 130,982,997,084.48/413,374.32
  6. Step 6: Final answer
    x = 316,862.93

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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.