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Finding the Fourth Proportional to 313,274.46, 432,319.16 and 170,034.50

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Solution

The fourth proportional to 313,274.46, 432,319.16 and 170,034.50 is: 234,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,274.46 : 432,319.16 = 170,034.50 : x
  2. Step 2: Convert to fraction form
    313,274.46/432,319.16 = 170,034.50/x
  3. Step 3: Cross multiply
    313,274.46x = 432,319.16 × 170,034.50
  4. Step 4: Simplify right side
    313,274.46x = 73,509,172,211.02
  5. Step 5: Solve for x
    x = 73,509,172,211.02/313,274.46
  6. Step 6: Final answer
    x = 234,647.83

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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.