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Finding the Fourth Proportional to 297,034.83, 409,929.75 and 169,707.69

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Solution

The fourth proportional to 297,034.83, 409,929.75 and 169,707.69 is: 234,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,034.83 : 409,929.75 = 169,707.69 : x
  2. Step 2: Convert to fraction form
    297,034.83/409,929.75 = 169,707.69/x
  3. Step 3: Cross multiply
    297,034.83x = 409,929.75 × 169,707.69
  4. Step 4: Simplify right side
    297,034.83x = 69,568,230,934.78
  5. Step 5: Solve for x
    x = 69,568,230,934.78/297,034.83
  6. Step 6: Final answer
    x = 234,209.00

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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.