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Finding the Fourth Proportional to 386,285.94, 532,876.50 and 233,239.68

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Solution

The fourth proportional to 386,285.94, 532,876.50 and 233,239.68 is: 321,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,285.94 : 532,876.50 = 233,239.68 : x
  2. Step 2: Convert to fraction form
    386,285.94/532,876.50 = 233,239.68/x
  3. Step 3: Cross multiply
    386,285.94x = 532,876.50 × 233,239.68
  4. Step 4: Simplify right side
    386,285.94x = 124,287,944,339.52
  5. Step 5: Solve for x
    x = 124,287,944,339.52/386,285.94
  6. Step 6: Final answer
    x = 321,751.15

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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.