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Finding the Fourth Proportional to 610,422.30, 915,633.45 and 311,823.90

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Solution

The fourth proportional to 610,422.30, 915,633.45 and 311,823.90 is: 467,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,422.30 : 915,633.45 = 311,823.90 : x
  2. Step 2: Convert to fraction form
    610,422.30/915,633.45 = 311,823.90/x
  3. Step 3: Cross multiply
    610,422.30x = 915,633.45 × 311,823.90
  4. Step 4: Simplify right side
    610,422.30x = 285,516,393,349.46
  5. Step 5: Solve for x
    x = 285,516,393,349.46/610,422.30
  6. Step 6: Final answer
    x = 467,735.85

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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.