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Finding the Fourth Proportional to 518,773.50, 715,907.52 and 280,309.50

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Solution

The fourth proportional to 518,773.50, 715,907.52 and 280,309.50 is: 386,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,773.50 : 715,907.52 = 280,309.50 : x
  2. Step 2: Convert to fraction form
    518,773.50/715,907.52 = 280,309.50/x
  3. Step 3: Cross multiply
    518,773.50x = 715,907.52 × 280,309.50
  4. Step 4: Simplify right side
    518,773.50x = 200,675,678,977.44
  5. Step 5: Solve for x
    x = 200,675,678,977.44/518,773.50
  6. Step 6: Final answer
    x = 386,827.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.