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Finding the Fourth Proportional to 413,182.49, 570,220.08 and 229,430.55

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Solution

The fourth proportional to 413,182.49, 570,220.08 and 229,430.55 is: 316,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,182.49 : 570,220.08 = 229,430.55 : x
  2. Step 2: Convert to fraction form
    413,182.49/570,220.08 = 229,430.55/x
  3. Step 3: Cross multiply
    413,182.49x = 570,220.08 × 229,430.55
  4. Step 4: Simplify right side
    413,182.49x = 130,825,906,575.44
  5. Step 5: Solve for x
    x = 130,825,906,575.44/413,182.49
  6. Step 6: Final answer
    x = 316,629.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.