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Finding the Fourth Proportional to 288,083.52, 432,685.44 and 234,814.57

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Solution

The fourth proportional to 288,083.52, 432,685.44 and 234,814.57 is: 352,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,083.52 : 432,685.44 = 234,814.57 : x
  2. Step 2: Convert to fraction form
    288,083.52/432,685.44 = 234,814.57/x
  3. Step 3: Cross multiply
    288,083.52x = 432,685.44 × 234,814.57
  4. Step 4: Simplify right side
    288,083.52x = 101,600,844,457.15
  5. Step 5: Solve for x
    x = 101,600,844,457.15/288,083.52
  6. Step 6: Final answer
    x = 352,678.43

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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.