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Finding the Fourth Proportional to 398,349.42, 549,722.28 and 217,061.38

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Solution

The fourth proportional to 398,349.42, 549,722.28 and 217,061.38 is: 299,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,349.42 : 549,722.28 = 217,061.38 : x
  2. Step 2: Convert to fraction form
    398,349.42/549,722.28 = 217,061.38/x
  3. Step 3: Cross multiply
    398,349.42x = 549,722.28 × 217,061.38
  4. Step 4: Simplify right side
    398,349.42x = 119,323,476,713.55
  5. Step 5: Solve for x
    x = 119,323,476,713.55/398,349.42
  6. Step 6: Final answer
    x = 299,544.75

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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.