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Finding the Fourth Proportional to 410,294.46, 566,642.88 and 312,451.74

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Solution

The fourth proportional to 410,294.46, 566,642.88 and 312,451.74 is: 431,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,294.46 : 566,642.88 = 312,451.74 : x
  2. Step 2: Convert to fraction form
    410,294.46/566,642.88 = 312,451.74/x
  3. Step 3: Cross multiply
    410,294.46x = 566,642.88 × 312,451.74
  4. Step 4: Simplify right side
    410,294.46x = 177,048,553,814.61
  5. Step 5: Solve for x
    x = 177,048,553,814.61/410,294.46
  6. Step 6: Final answer
    x = 431,515.83

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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.