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Finding the Fourth Proportional to 499,351.55, 749,098.40 and 162,283.82

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Solution

The fourth proportional to 499,351.55, 749,098.40 and 162,283.82 is: 243,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,351.55 : 749,098.40 = 162,283.82 : x
  2. Step 2: Convert to fraction form
    499,351.55/749,098.40 = 162,283.82/x
  3. Step 3: Cross multiply
    499,351.55x = 749,098.40 × 162,283.82
  4. Step 4: Simplify right side
    499,351.55x = 121,566,545,350.98
  5. Step 5: Solve for x
    x = 121,566,545,350.98/499,351.55
  6. Step 6: Final answer
    x = 243,448.82

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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.