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Finding the Fourth Proportional to 467,753.96, 701,471.98 and 152,132.52

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Solution

The fourth proportional to 467,753.96, 701,471.98 and 152,132.52 is: 228,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,753.96 : 701,471.98 = 152,132.52 : x
  2. Step 2: Convert to fraction form
    467,753.96/701,471.98 = 152,132.52/x
  3. Step 3: Cross multiply
    467,753.96x = 701,471.98 × 152,132.52
  4. Step 4: Simplify right side
    467,753.96x = 106,716,700,026.79
  5. Step 5: Solve for x
    x = 106,716,700,026.79/467,753.96
  6. Step 6: Final answer
    x = 228,147.08

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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.