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Finding the Fourth Proportional to 314,711.65, 471,520.72 and 283,874.95

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Solution

The fourth proportional to 314,711.65, 471,520.72 and 283,874.95 is: 425,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,711.65 : 471,520.72 = 283,874.95 : x
  2. Step 2: Convert to fraction form
    314,711.65/471,520.72 = 283,874.95/x
  3. Step 3: Cross multiply
    314,711.65x = 471,520.72 × 283,874.95
  4. Step 4: Simplify right side
    314,711.65x = 133,852,920,813.96
  5. Step 5: Solve for x
    x = 133,852,920,813.96/314,711.65
  6. Step 6: Final answer
    x = 425,319.24

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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.