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Finding the Fourth Proportional to 518,486, 715,510.68 and 280,022

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Solution

The fourth proportional to 518,486, 715,510.68 and 280,022 is: 386,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,486 : 715,510.68 = 280,022 : x
  2. Step 2: Convert to fraction form
    518,486/715,510.68 = 280,022/x
  3. Step 3: Cross multiply
    518,486x = 715,510.68 × 280,022
  4. Step 4: Simplify right side
    518,486x = 200,358,731,634.96
  5. Step 5: Solve for x
    x = 200,358,731,634.96/518,486
  6. Step 6: Final answer
    x = 386,430.36

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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.