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Finding the Fourth Proportional to 398,516.90, 549,946.17 and 217,230.38

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Solution

The fourth proportional to 398,516.90, 549,946.17 and 217,230.38 is: 299,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,516.90 : 549,946.17 = 217,230.38 : x
  2. Step 2: Convert to fraction form
    398,516.90/549,946.17 = 217,230.38/x
  3. Step 3: Cross multiply
    398,516.90x = 549,946.17 × 217,230.38
  4. Step 4: Simplify right side
    398,516.90x = 119,465,015,488.65
  5. Step 5: Solve for x
    x = 119,465,015,488.65/398,516.90
  6. Step 6: Final answer
    x = 299,774.03

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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.