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Finding the Fourth Proportional to 518,598, 715,665.24 and 280,134

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Solution

The fourth proportional to 518,598, 715,665.24 and 280,134 is: 386,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,598 : 715,665.24 = 280,134 : x
  2. Step 2: Convert to fraction form
    518,598/715,665.24 = 280,134/x
  3. Step 3: Cross multiply
    518,598x = 715,665.24 × 280,134
  4. Step 4: Simplify right side
    518,598x = 200,482,166,342.16
  5. Step 5: Solve for x
    x = 200,482,166,342.16/518,598
  6. Step 6: Final answer
    x = 386,584.92

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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.