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Finding the Fourth Proportional to 312,357.57, 431,053.65 and 169,117.67

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Solution

The fourth proportional to 312,357.57, 431,053.65 and 169,117.67 is: 233,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,357.57 : 431,053.65 = 169,117.67 : x
  2. Step 2: Convert to fraction form
    312,357.57/431,053.65 = 169,117.67/x
  3. Step 3: Cross multiply
    312,357.57x = 431,053.65 × 169,117.67
  4. Step 4: Simplify right side
    312,357.57x = 72,898,790,010.63
  5. Step 5: Solve for x
    x = 72,898,790,010.63/312,357.57
  6. Step 6: Final answer
    x = 233,382.50

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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.