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Finding the Fourth Proportional to 503,138.61, 754,839.14 and 187,598.25

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Solution

The fourth proportional to 503,138.61, 754,839.14 and 187,598.25 is: 281,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,138.61 : 754,839.14 = 187,598.25 : x
  2. Step 2: Convert to fraction form
    503,138.61/754,839.14 = 187,598.25/x
  3. Step 3: Cross multiply
    503,138.61x = 754,839.14 × 187,598.25
  4. Step 4: Simplify right side
    503,138.61x = 141,606,500,757.51
  5. Step 5: Solve for x
    x = 141,606,500,757.51/503,138.61
  6. Step 6: Final answer
    x = 281,446.30

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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.