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Finding the Fourth Proportional to 461,280.84, 691,925.85 and 161,768.76

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Solution

The fourth proportional to 461,280.84, 691,925.85 and 161,768.76 is: 242,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,280.84 : 691,925.85 = 161,768.76 : x
  2. Step 2: Convert to fraction form
    461,280.84/691,925.85 = 161,768.76/x
  3. Step 3: Cross multiply
    461,280.84x = 691,925.85 × 161,768.76
  4. Step 4: Simplify right side
    461,280.84x = 111,931,986,766.45
  5. Step 5: Solve for x
    x = 111,931,986,766.45/461,280.84
  6. Step 6: Final answer
    x = 242,654.75

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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.