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Finding the Fourth Proportional to 387,097.38, 534,236.50 and 234,219.93

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Solution

The fourth proportional to 387,097.38, 534,236.50 and 234,219.93 is: 323,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,097.38 : 534,236.50 = 234,219.93 : x
  2. Step 2: Convert to fraction form
    387,097.38/534,236.50 = 234,219.93/x
  3. Step 3: Cross multiply
    387,097.38x = 534,236.50 × 234,219.93
  4. Step 4: Simplify right side
    387,097.38x = 125,128,835,633.45
  5. Step 5: Solve for x
    x = 125,128,835,633.45/387,097.38
  6. Step 6: Final answer
    x = 323,248.99

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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.