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Finding the Fourth Proportional to 376,630.80, 564,946.56 and 264,811.20

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Solution

The fourth proportional to 376,630.80, 564,946.56 and 264,811.20 is: 397,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,630.80 : 564,946.56 = 264,811.20 : x
  2. Step 2: Convert to fraction form
    376,630.80/564,946.56 = 264,811.20/x
  3. Step 3: Cross multiply
    376,630.80x = 564,946.56 × 264,811.20
  4. Step 4: Simplify right side
    376,630.80x = 149,604,176,489.47
  5. Step 5: Solve for x
    x = 149,604,176,489.47/376,630.80
  6. Step 6: Final answer
    x = 397,217.05

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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.