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Finding the Fourth Proportional to 524,502.45, 786,560.76 and 187,452

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Solution

The fourth proportional to 524,502.45, 786,560.76 and 187,452 is: 281,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,502.45 : 786,560.76 = 187,452 : x
  2. Step 2: Convert to fraction form
    524,502.45/786,560.76 = 187,452/x
  3. Step 3: Cross multiply
    524,502.45x = 786,560.76 × 187,452
  4. Step 4: Simplify right side
    524,502.45x = 147,442,387,583.52
  5. Step 5: Solve for x
    x = 147,442,387,583.52/524,502.45
  6. Step 6: Final answer
    x = 281,109.05

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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.