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Finding the Fourth Proportional to 313,274.65, 432,319.52 and 170,034.76

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Solution

The fourth proportional to 313,274.65, 432,319.52 and 170,034.76 is: 234,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,274.65 : 432,319.52 = 170,034.76 : x
  2. Step 2: Convert to fraction form
    313,274.65/432,319.52 = 170,034.76/x
  3. Step 3: Cross multiply
    313,274.65x = 432,319.52 × 170,034.76
  4. Step 4: Simplify right side
    313,274.65x = 73,509,345,826.52
  5. Step 5: Solve for x
    x = 73,509,345,826.52/313,274.65
  6. Step 6: Final answer
    x = 234,648.24

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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.