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Finding the Fourth Proportional to 399,566.71, 599,586.52 and 147,024.54

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Solution

The fourth proportional to 399,566.71, 599,586.52 and 147,024.54 is: 220,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,566.71 : 599,586.52 = 147,024.54 : x
  2. Step 2: Convert to fraction form
    399,566.71/599,586.52 = 147,024.54/x
  3. Step 3: Cross multiply
    399,566.71x = 599,586.52 × 147,024.54
  4. Step 4: Simplify right side
    399,566.71x = 88,153,932,293.20
  5. Step 5: Solve for x
    x = 88,153,932,293.20/399,566.71
  6. Step 6: Final answer
    x = 220,623.82

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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.