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Finding the Fourth Proportional to 497,775.94, 746,600.36 and 160,781.58

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Solution

The fourth proportional to 497,775.94, 746,600.36 and 160,781.58 is: 241,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,775.94 : 746,600.36 = 160,781.58 : x
  2. Step 2: Convert to fraction form
    497,775.94/746,600.36 = 160,781.58/x
  3. Step 3: Cross multiply
    497,775.94x = 746,600.36 × 160,781.58
  4. Step 4: Simplify right side
    497,775.94x = 120,039,584,705.46
  5. Step 5: Solve for x
    x = 120,039,584,705.46/497,775.94
  6. Step 6: Final answer
    x = 241,151.84

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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.