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Finding the Fourth Proportional to 503,756.96, 755,351.12 and 188,085.38

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Solution

The fourth proportional to 503,756.96, 755,351.12 and 188,085.38 is: 282,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,756.96 : 755,351.12 = 188,085.38 : x
  2. Step 2: Convert to fraction form
    503,756.96/755,351.12 = 188,085.38/x
  3. Step 3: Cross multiply
    503,756.96x = 755,351.12 × 188,085.38
  4. Step 4: Simplify right side
    503,756.96x = 142,070,499,132.08
  5. Step 5: Solve for x
    x = 142,070,499,132.08/503,756.96
  6. Step 6: Final answer
    x = 282,021.91

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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.