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Finding the Fourth Proportional to 416,421.30, 574,654.53 and 225,433.02

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Solution

The fourth proportional to 416,421.30, 574,654.53 and 225,433.02 is: 311,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,421.30 : 574,654.53 = 225,433.02 : x
  2. Step 2: Convert to fraction form
    416,421.30/574,654.53 = 225,433.02/x
  3. Step 3: Cross multiply
    416,421.30x = 574,654.53 × 225,433.02
  4. Step 4: Simplify right side
    416,421.30x = 129,546,106,154.58
  5. Step 5: Solve for x
    x = 129,546,106,154.58/416,421.30
  6. Step 6: Final answer
    x = 311,093.85

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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.