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Finding the Fourth Proportional to 297,424.39, 410,402.35 and 170,075.38

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Solution

The fourth proportional to 297,424.39, 410,402.35 and 170,075.38 is: 234,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,424.39 : 410,402.35 = 170,075.38 : x
  2. Step 2: Convert to fraction form
    297,424.39/410,402.35 = 170,075.38/x
  3. Step 3: Cross multiply
    297,424.39x = 410,402.35 × 170,075.38
  4. Step 4: Simplify right side
    297,424.39x = 69,799,336,063.57
  5. Step 5: Solve for x
    x = 69,799,336,063.57/297,424.39
  6. Step 6: Final answer
    x = 234,679.26

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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.