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Finding the Fourth Proportional to 288,007.80, 432,572.34 and 234,739.14

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Solution

The fourth proportional to 288,007.80, 432,572.34 and 234,739.14 is: 352,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,007.80 : 432,572.34 = 234,739.14 : x
  2. Step 2: Convert to fraction form
    288,007.80/432,572.34 = 234,739.14/x
  3. Step 3: Cross multiply
    288,007.80x = 432,572.34 × 234,739.14
  4. Step 4: Simplify right side
    288,007.80x = 101,541,659,079.39
  5. Step 5: Solve for x
    x = 101,541,659,079.39/288,007.80
  6. Step 6: Final answer
    x = 352,565.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.