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Finding the Fourth Proportional to 398,488.48, 549,913.66 and 217,200.76

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Solution

The fourth proportional to 398,488.48, 549,913.66 and 217,200.76 is: 299,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,488.48 : 549,913.66 = 217,200.76 : x
  2. Step 2: Convert to fraction form
    398,488.48/549,913.66 = 217,200.76/x
  3. Step 3: Cross multiply
    398,488.48x = 549,913.66 × 217,200.76
  4. Step 4: Simplify right side
    398,488.48x = 119,441,664,886.38
  5. Step 5: Solve for x
    x = 119,441,664,886.38/398,488.48
  6. Step 6: Final answer
    x = 299,736.81

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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.