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Finding the Fourth Proportional to 398,159.85, 549,441.18 and 226,055.25

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Solution

The fourth proportional to 398,159.85, 549,441.18 and 226,055.25 is: 311,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,159.85 : 549,441.18 = 226,055.25 : x
  2. Step 2: Convert to fraction form
    398,159.85/549,441.18 = 226,055.25/x
  3. Step 3: Cross multiply
    398,159.85x = 549,441.18 × 226,055.25
  4. Step 4: Simplify right side
    398,159.85x = 124,204,063,305.20
  5. Step 5: Solve for x
    x = 124,204,063,305.20/398,159.85
  6. Step 6: Final answer
    x = 311,945.22

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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.