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Finding the Fourth Proportional to 416,740.92, 575,101.95 and 225,755.10

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Solution

The fourth proportional to 416,740.92, 575,101.95 and 225,755.10 is: 311,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,740.92 : 575,101.95 = 225,755.10 : x
  2. Step 2: Convert to fraction form
    416,740.92/575,101.95 = 225,755.10/x
  3. Step 3: Cross multiply
    416,740.92x = 575,101.95 × 225,755.10
  4. Step 4: Simplify right side
    416,740.92x = 129,832,198,232.45
  5. Step 5: Solve for x
    x = 129,832,198,232.45/416,740.92
  6. Step 6: Final answer
    x = 311,541.76

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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.