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Finding the Fourth Proportional to 491,712.01, 736,992.51 and 187,907.23

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Solution

The fourth proportional to 491,712.01, 736,992.51 and 187,907.23 is: 281,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,712.01 : 736,992.51 = 187,907.23 : x
  2. Step 2: Convert to fraction form
    491,712.01/736,992.51 = 187,907.23/x
  3. Step 3: Cross multiply
    491,712.01x = 736,992.51 × 187,907.23
  4. Step 4: Simplify right side
    491,712.01x = 138,486,221,084.85
  5. Step 5: Solve for x
    x = 138,486,221,084.85/491,712.01
  6. Step 6: Final answer
    x = 281,640.92

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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.