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Finding the Fourth Proportional to 398,480.73, 549,898.57 and 217,192.10

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Solution

The fourth proportional to 398,480.73, 549,898.57 and 217,192.10 is: 299,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,480.73 : 549,898.57 = 217,192.10 : x
  2. Step 2: Convert to fraction form
    398,480.73/549,898.57 = 217,192.10/x
  3. Step 3: Cross multiply
    398,480.73x = 549,898.57 × 217,192.10
  4. Step 4: Simplify right side
    398,480.73x = 119,433,625,205.30
  5. Step 5: Solve for x
    x = 119,433,625,205.30/398,480.73
  6. Step 6: Final answer
    x = 299,722.46

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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.