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Finding the Fourth Proportional to 390,542.38, 538,961.19 and 216,114.58

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Solution

The fourth proportional to 390,542.38, 538,961.19 and 216,114.58 is: 298,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,542.38 : 538,961.19 = 216,114.58 : x
  2. Step 2: Convert to fraction form
    390,542.38/538,961.19 = 216,114.58/x
  3. Step 3: Cross multiply
    390,542.38x = 538,961.19 × 216,114.58
  4. Step 4: Simplify right side
    390,542.38x = 116,477,371,213.15
  5. Step 5: Solve for x
    x = 116,477,371,213.15/390,542.38
  6. Step 6: Final answer
    x = 298,245.15

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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.