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Finding the Fourth Proportional to 497,234.70, 745,852.05 and 181,650.60

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Solution

The fourth proportional to 497,234.70, 745,852.05 and 181,650.60 is: 272,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,234.70 : 745,852.05 = 181,650.60 : x
  2. Step 2: Convert to fraction form
    497,234.70/745,852.05 = 181,650.60/x
  3. Step 3: Cross multiply
    497,234.70x = 745,852.05 × 181,650.60
  4. Step 4: Simplify right side
    497,234.70x = 135,484,472,393.73
  5. Step 5: Solve for x
    x = 135,484,472,393.73/497,234.70
  6. Step 6: Final answer
    x = 272,475.90

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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.