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Finding the Fourth Proportional to 493,521.24, 740,281.86 and 177,978.15

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Solution

The fourth proportional to 493,521.24, 740,281.86 and 177,978.15 is: 266,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,521.24 : 740,281.86 = 177,978.15 : x
  2. Step 2: Convert to fraction form
    493,521.24/740,281.86 = 177,978.15/x
  3. Step 3: Cross multiply
    493,521.24x = 740,281.86 × 177,978.15
  4. Step 4: Simplify right side
    493,521.24x = 131,753,995,921.36
  5. Step 5: Solve for x
    x = 131,753,995,921.36/493,521.24
  6. Step 6: Final answer
    x = 266,967.23

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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.