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Finding the Fourth Proportional to 499,418.65, 749,134.88 and 162,461.06

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Solution

The fourth proportional to 499,418.65, 749,134.88 and 162,461.06 is: 243,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,418.65 : 749,134.88 = 162,461.06 : x
  2. Step 2: Convert to fraction form
    499,418.65/749,134.88 = 162,461.06/x
  3. Step 3: Cross multiply
    499,418.65x = 749,134.88 × 162,461.06
  4. Step 4: Simplify right side
    499,418.65x = 121,705,242,129.79
  5. Step 5: Solve for x
    x = 121,705,242,129.79/499,418.65
  6. Step 6: Final answer
    x = 243,693.83

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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.