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Finding the Fourth Proportional to 415,003.20, 572,696.88 and 233,714.40

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Solution

The fourth proportional to 415,003.20, 572,696.88 and 233,714.40 is: 322,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,003.20 : 572,696.88 = 233,714.40 : x
  2. Step 2: Convert to fraction form
    415,003.20/572,696.88 = 233,714.40/x
  3. Step 3: Cross multiply
    415,003.20x = 572,696.88 × 233,714.40
  4. Step 4: Simplify right side
    415,003.20x = 133,847,507,691.07
  5. Step 5: Solve for x
    x = 133,847,507,691.07/415,003.20
  6. Step 6: Final answer
    x = 322,521.63

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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.