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Finding the Fourth Proportional to 416,412.42, 574,650.98 and 225,425.80

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Solution

The fourth proportional to 416,412.42, 574,650.98 and 225,425.80 is: 311,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,412.42 : 574,650.98 = 225,425.80 : x
  2. Step 2: Convert to fraction form
    416,412.42/574,650.98 = 225,425.80/x
  3. Step 3: Cross multiply
    416,412.42x = 574,650.98 × 225,425.80
  4. Step 4: Simplify right side
    416,412.42x = 129,541,156,887.28
  5. Step 5: Solve for x
    x = 129,541,156,887.28/416,412.42
  6. Step 6: Final answer
    x = 311,088.60

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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.