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Finding the Fourth Proportional to 493,572.16, 740,358.34 and 178,029.03

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Solution

The fourth proportional to 493,572.16, 740,358.34 and 178,029.03 is: 267,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,572.16 : 740,358.34 = 178,029.03 : x
  2. Step 2: Convert to fraction form
    493,572.16/740,358.34 = 178,029.03/x
  3. Step 3: Cross multiply
    493,572.16x = 740,358.34 × 178,029.03
  4. Step 4: Simplify right side
    493,572.16x = 131,805,277,122.61
  5. Step 5: Solve for x
    x = 131,805,277,122.61/493,572.16
  6. Step 6: Final answer
    x = 267,043.58

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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.