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Finding the Fourth Proportional to 416,746.29, 575,110.16 and 225,760.44

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Solution

The fourth proportional to 416,746.29, 575,110.16 and 225,760.44 is: 311,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,746.29 : 575,110.16 = 225,760.44 : x
  2. Step 2: Convert to fraction form
    416,746.29/575,110.16 = 225,760.44/x
  3. Step 3: Cross multiply
    416,746.29x = 575,110.16 × 225,760.44
  4. Step 4: Simplify right side
    416,746.29x = 129,837,121,641.27
  5. Step 5: Solve for x
    x = 129,837,121,641.27/416,746.29
  6. Step 6: Final answer
    x = 311,549.56

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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.