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Finding the Fourth Proportional to 518,497.50, 715,526.82 and 280,033.50

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Solution

The fourth proportional to 518,497.50, 715,526.82 and 280,033.50 is: 386,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,497.50 : 715,526.82 = 280,033.50 : x
  2. Step 2: Convert to fraction form
    518,497.50/715,526.82 = 280,033.50/x
  3. Step 3: Cross multiply
    518,497.50x = 715,526.82 × 280,033.50
  4. Step 4: Simplify right side
    518,497.50x = 200,371,479,748.47
  5. Step 5: Solve for x
    x = 200,371,479,748.47/518,497.50
  6. Step 6: Final answer
    x = 386,446.38

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1.5x scale

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.