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Finding the Fourth Proportional to 415,675.32, 573,481.26 and 340,541.88

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Solution

The fourth proportional to 415,675.32, 573,481.26 and 340,541.88 is: 469,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,675.32 : 573,481.26 = 340,541.88 : x
  2. Step 2: Convert to fraction form
    415,675.32/573,481.26 = 340,541.88/x
  3. Step 3: Cross multiply
    415,675.32x = 573,481.26 × 340,541.88
  4. Step 4: Simplify right side
    415,675.32x = 195,294,386,425.17
  5. Step 5: Solve for x
    x = 195,294,386,425.17/415,675.32
  6. Step 6: Final answer
    x = 469,824.35

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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.