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Finding the Fourth Proportional to 416,704.83, 575,050.77 and 225,718.68

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Solution

The fourth proportional to 416,704.83, 575,050.77 and 225,718.68 is: 311,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,704.83 : 575,050.77 = 225,718.68 : x
  2. Step 2: Convert to fraction form
    416,704.83/575,050.77 = 225,718.68/x
  3. Step 3: Cross multiply
    416,704.83x = 575,050.77 × 225,718.68
  4. Step 4: Simplify right side
    416,704.83x = 129,799,700,737.38
  5. Step 5: Solve for x
    x = 129,799,700,737.38/416,704.83
  6. Step 6: Final answer
    x = 311,490.75

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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.