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Finding the Fourth Proportional to 398,008.52, 549,223.98 and 225,929.96

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Solution

The fourth proportional to 398,008.52, 549,223.98 and 225,929.96 is: 311,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,008.52 : 549,223.98 = 225,929.96 : x
  2. Step 2: Convert to fraction form
    398,008.52/549,223.98 = 225,929.96/x
  3. Step 3: Cross multiply
    398,008.52x = 549,223.98 × 225,929.96
  4. Step 4: Simplify right side
    398,008.52x = 124,086,151,832.44
  5. Step 5: Solve for x
    x = 124,086,151,832.44/398,008.52
  6. Step 6: Final answer
    x = 311,767.58

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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.