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Finding the Fourth Proportional to 416,248.67, 574,423.16 and 225,262.10

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Solution

The fourth proportional to 416,248.67, 574,423.16 and 225,262.10 is: 310,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,248.67 : 574,423.16 = 225,262.10 : x
  2. Step 2: Convert to fraction form
    416,248.67/574,423.16 = 225,262.10/x
  3. Step 3: Cross multiply
    416,248.67x = 574,423.16 × 225,262.10
  4. Step 4: Simplify right side
    416,248.67x = 129,395,763,311.81
  5. Step 5: Solve for x
    x = 129,395,763,311.81/416,248.67
  6. Step 6: Final answer
    x = 310,861.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.