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Finding the Fourth Proportional to 398,513.38, 549,941.36 and 217,226.86

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Solution

The fourth proportional to 398,513.38, 549,941.36 and 217,226.86 is: 299,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,513.38 : 549,941.36 = 217,226.86 : x
  2. Step 2: Convert to fraction form
    398,513.38/549,941.36 = 217,226.86/x
  3. Step 3: Cross multiply
    398,513.38x = 549,941.36 × 217,226.86
  4. Step 4: Simplify right side
    398,513.38x = 119,462,034,816.93
  5. Step 5: Solve for x
    x = 119,462,034,816.93/398,513.38
  6. Step 6: Final answer
    x = 299,769.19

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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.