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Finding the Fourth Proportional to 524,129.66, 786,235.53 and 187,243.10

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Solution

The fourth proportional to 524,129.66, 786,235.53 and 187,243.10 is: 280,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,129.66 : 786,235.53 = 187,243.10 : x
  2. Step 2: Convert to fraction form
    524,129.66/786,235.53 = 187,243.10/x
  3. Step 3: Cross multiply
    524,129.66x = 786,235.53 × 187,243.10
  4. Step 4: Simplify right side
    524,129.66x = 147,217,177,967.34
  5. Step 5: Solve for x
    x = 147,217,177,967.34/524,129.66
  6. Step 6: Final answer
    x = 280,879.31

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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.