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Finding the Fourth Proportional to 416,298.54, 574,493.70 and 225,311.88

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Solution

The fourth proportional to 416,298.54, 574,493.70 and 225,311.88 is: 310,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,298.54 : 574,493.70 = 225,311.88 : x
  2. Step 2: Convert to fraction form
    416,298.54/574,493.70 = 225,311.88/x
  3. Step 3: Cross multiply
    416,298.54x = 574,493.70 × 225,311.88
  4. Step 4: Simplify right side
    416,298.54x = 129,440,255,595.16
  5. Step 5: Solve for x
    x = 129,440,255,595.16/416,298.54
  6. Step 6: Final answer
    x = 310,931.32

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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.