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Finding the Fourth Proportional to 502,534.44, 693,546.30 and 287,705.16

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Solution

The fourth proportional to 502,534.44, 693,546.30 and 287,705.16 is: 397,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,534.44 : 693,546.30 = 287,705.16 : x
  2. Step 2: Convert to fraction form
    502,534.44/693,546.30 = 287,705.16/x
  3. Step 3: Cross multiply
    502,534.44x = 693,546.30 × 287,705.16
  4. Step 4: Simplify right side
    502,534.44x = 199,536,849,208.91
  5. Step 5: Solve for x
    x = 199,536,849,208.91/502,534.44
  6. Step 6: Final answer
    x = 397,061.04

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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.