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Finding the Fourth Proportional to 503,138.86, 754,839.51 and 187,598.50

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Solution

The fourth proportional to 503,138.86, 754,839.51 and 187,598.50 is: 281,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,138.86 : 754,839.51 = 187,598.50 : x
  2. Step 2: Convert to fraction form
    503,138.86/754,839.51 = 187,598.50/x
  3. Step 3: Cross multiply
    503,138.86x = 754,839.51 × 187,598.50
  4. Step 4: Simplify right side
    503,138.86x = 141,606,759,816.74
  5. Step 5: Solve for x
    x = 141,606,759,816.74/503,138.86
  6. Step 6: Final answer
    x = 281,446.68

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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.