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Finding the Fourth Proportional to 522,315.95, 783,348.17 and 332,491.64

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Solution

The fourth proportional to 522,315.95, 783,348.17 and 332,491.64 is: 498,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,315.95 : 783,348.17 = 332,491.64 : x
  2. Step 2: Convert to fraction form
    522,315.95/783,348.17 = 332,491.64/x
  3. Step 3: Cross multiply
    522,315.95x = 783,348.17 × 332,491.64
  4. Step 4: Simplify right side
    522,315.95x = 260,456,712,155.10
  5. Step 5: Solve for x
    x = 260,456,712,155.10/522,315.95
  6. Step 6: Final answer
    x = 498,657.40

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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.