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Finding the Fourth Proportional to 416,402.45, 574,635.68 and 225,415.98

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Solution

The fourth proportional to 416,402.45, 574,635.68 and 225,415.98 is: 311,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,402.45 : 574,635.68 = 225,415.98 : x
  2. Step 2: Convert to fraction form
    416,402.45/574,635.68 = 225,415.98/x
  3. Step 3: Cross multiply
    416,402.45x = 574,635.68 × 225,415.98
  4. Step 4: Simplify right side
    416,402.45x = 129,532,063,823.09
  5. Step 5: Solve for x
    x = 129,532,063,823.09/416,402.45
  6. Step 6: Final answer
    x = 311,074.22

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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.