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Finding the Fourth Proportional to 493,584.75, 740,377.23 and 178,041.62

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Solution

The fourth proportional to 493,584.75, 740,377.23 and 178,041.62 is: 267,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,584.75 : 740,377.23 = 178,041.62 : x
  2. Step 2: Convert to fraction form
    493,584.75/740,377.23 = 178,041.62/x
  3. Step 3: Cross multiply
    493,584.75x = 740,377.23 × 178,041.62
  4. Step 4: Simplify right side
    493,584.75x = 131,817,963,291.26
  5. Step 5: Solve for x
    x = 131,817,963,291.26/493,584.75
  6. Step 6: Final answer
    x = 267,062.47

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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.