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Finding the Fourth Proportional to 391,045.20, 586,330.20 and 154,114.80

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Solution

The fourth proportional to 391,045.20, 586,330.20 and 154,114.80 is: 231,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,045.20 : 586,330.20 = 154,114.80 : x
  2. Step 2: Convert to fraction form
    391,045.20/586,330.20 = 154,114.80/x
  3. Step 3: Cross multiply
    391,045.20x = 586,330.20 × 154,114.80
  4. Step 4: Simplify right side
    391,045.20x = 90,362,161,506.96
  5. Step 5: Solve for x
    x = 90,362,161,506.96/391,045.20
  6. Step 6: Final answer
    x = 231,078.56

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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.