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Finding the Fourth Proportional to 388,166.72, 582,053.12 and 177,624.24

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Solution

The fourth proportional to 388,166.72, 582,053.12 and 177,624.24 is: 266,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,166.72 : 582,053.12 = 177,624.24 : x
  2. Step 2: Convert to fraction form
    388,166.72/582,053.12 = 177,624.24/x
  3. Step 3: Cross multiply
    388,166.72x = 582,053.12 × 177,624.24
  4. Step 4: Simplify right side
    388,166.72x = 103,386,743,079.63
  5. Step 5: Solve for x
    x = 103,386,743,079.63/388,166.72
  6. Step 6: Final answer
    x = 266,346.23

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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.