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Finding the Fourth Proportional to 511,915.04, 706,441.91 and 282,472.14

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Solution

The fourth proportional to 511,915.04, 706,441.91 and 282,472.14 is: 389,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,915.04 : 706,441.91 = 282,472.14 : x
  2. Step 2: Convert to fraction form
    511,915.04/706,441.91 = 282,472.14/x
  3. Step 3: Cross multiply
    511,915.04x = 706,441.91 × 282,472.14
  4. Step 4: Simplify right side
    511,915.04x = 199,550,156,691.03
  5. Step 5: Solve for x
    x = 199,550,156,691.03/511,915.04
  6. Step 6: Final answer
    x = 389,811.09

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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.