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Finding the Fourth Proportional to 286,314.80, 429,472.20 and 260,049.20

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Solution

The fourth proportional to 286,314.80, 429,472.20 and 260,049.20 is: 390,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,314.80 : 429,472.20 = 260,049.20 : x
  2. Step 2: Convert to fraction form
    286,314.80/429,472.20 = 260,049.20/x
  3. Step 3: Cross multiply
    286,314.80x = 429,472.20 × 260,049.20
  4. Step 4: Simplify right side
    286,314.80x = 111,683,902,032.24
  5. Step 5: Solve for x
    x = 111,683,902,032.24/286,314.80
  6. Step 6: Final answer
    x = 390,073.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.