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Finding the Fourth Proportional to 398,468.30, 549,886.68 and 217,180.38

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Solution

The fourth proportional to 398,468.30, 549,886.68 and 217,180.38 is: 299,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468.30 : 549,886.68 = 217,180.38 : x
  2. Step 2: Convert to fraction form
    398,468.30/549,886.68 = 217,180.38/x
  3. Step 3: Cross multiply
    398,468.30x = 549,886.68 × 217,180.38
  4. Step 4: Simplify right side
    398,468.30x = 119,424,598,119.34
  5. Step 5: Solve for x
    x = 119,424,598,119.34/398,468.30
  6. Step 6: Final answer
    x = 299,709.15

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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.