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Finding the Fourth Proportional to 280,024.32, 418,251.52 and 253,329.42

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Solution

The fourth proportional to 280,024.32, 418,251.52 and 253,329.42 is: 378,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,024.32 : 418,251.52 = 253,329.42 : x
  2. Step 2: Convert to fraction form
    280,024.32/418,251.52 = 253,329.42/x
  3. Step 3: Cross multiply
    280,024.32x = 418,251.52 × 253,329.42
  4. Step 4: Simplify right side
    280,024.32x = 105,955,414,975.72
  5. Step 5: Solve for x
    x = 105,955,414,975.72/280,024.32
  6. Step 6: Final answer
    x = 378,379.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.