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Finding the Fourth Proportional to 442,463.76, 663,275.16 and 282,089.52

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Solution

The fourth proportional to 442,463.76, 663,275.16 and 282,089.52 is: 422,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,463.76 : 663,275.16 = 282,089.52 : x
  2. Step 2: Convert to fraction form
    442,463.76/663,275.16 = 282,089.52/x
  3. Step 3: Cross multiply
    442,463.76x = 663,275.16 × 282,089.52
  4. Step 4: Simplify right side
    442,463.76x = 187,102,971,512.32
  5. Step 5: Solve for x
    x = 187,102,971,512.32/442,463.76
  6. Step 6: Final answer
    x = 422,866.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.