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Finding the Fourth Proportional to 524,002.77, 786,170.25 and 187,035.93

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Solution

The fourth proportional to 524,002.77, 786,170.25 and 187,035.93 is: 280,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,002.77 : 786,170.25 = 187,035.93 : x
  2. Step 2: Convert to fraction form
    524,002.77/786,170.25 = 187,035.93/x
  3. Step 3: Cross multiply
    524,002.77x = 786,170.25 × 187,035.93
  4. Step 4: Simplify right side
    524,002.77x = 147,042,083,847.08
  5. Step 5: Solve for x
    x = 147,042,083,847.08/524,002.77
  6. Step 6: Final answer
    x = 280,613.18

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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.