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Finding the Fourth Proportional to 387,096.38, 534,235.12 and 234,218.93

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Solution

The fourth proportional to 387,096.38, 534,235.12 and 234,218.93 is: 323,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,096.38 : 534,235.12 = 234,218.93 : x
  2. Step 2: Convert to fraction form
    387,096.38/534,235.12 = 234,218.93/x
  3. Step 3: Cross multiply
    387,096.38x = 534,235.12 × 234,218.93
  4. Step 4: Simplify right side
    387,096.38x = 125,127,977,830.64
  5. Step 5: Solve for x
    x = 125,127,977,830.64/387,096.38
  6. Step 6: Final answer
    x = 323,247.61

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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.