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Finding the Fourth Proportional to 416,704.05, 575,051.04 and 225,718.20

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Solution

The fourth proportional to 416,704.05, 575,051.04 and 225,718.20 is: 311,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,704.05 : 575,051.04 = 225,718.20 : x
  2. Step 2: Convert to fraction form
    416,704.05/575,051.04 = 225,718.20/x
  3. Step 3: Cross multiply
    416,704.05x = 575,051.04 × 225,718.20
  4. Step 4: Simplify right side
    416,704.05x = 129,799,485,656.93
  5. Step 5: Solve for x
    x = 129,799,485,656.93/416,704.05
  6. Step 6: Final answer
    x = 311,490.82

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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.