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Finding the Fourth Proportional to 410,156.30, 615,234.45 and 377,679.35

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Solution

The fourth proportional to 410,156.30, 615,234.45 and 377,679.35 is: 566,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,156.30 : 615,234.45 = 377,679.35 : x
  2. Step 2: Convert to fraction form
    410,156.30/615,234.45 = 377,679.35/x
  3. Step 3: Cross multiply
    410,156.30x = 615,234.45 × 377,679.35
  4. Step 4: Simplify right side
    410,156.30x = 232,361,347,173.61
  5. Step 5: Solve for x
    x = 232,361,347,173.61/410,156.30
  6. Step 6: Final answer
    x = 566,519.03

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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.