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Finding the Fourth Proportional to 491,716.02, 736,998.50 and 187,911.24

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Solution

The fourth proportional to 491,716.02, 736,998.50 and 187,911.24 is: 281,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,716.02 : 736,998.50 = 187,911.24 : x
  2. Step 2: Convert to fraction form
    491,716.02/736,998.50 = 187,911.24/x
  3. Step 3: Cross multiply
    491,716.02x = 736,998.50 × 187,911.24
  4. Step 4: Simplify right side
    491,716.02x = 138,490,302,013.14
  5. Step 5: Solve for x
    x = 138,490,302,013.14/491,716.02
  6. Step 6: Final answer
    x = 281,646.92

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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.