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Finding the Fourth Proportional to 297,210.29, 410,150.14 and 169,888.61

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Solution

The fourth proportional to 297,210.29, 410,150.14 and 169,888.61 is: 234,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,210.29 : 410,150.14 = 169,888.61 : x
  2. Step 2: Convert to fraction form
    297,210.29/410,150.14 = 169,888.61/x
  3. Step 3: Cross multiply
    297,210.29x = 410,150.14 × 169,888.61
  4. Step 4: Simplify right side
    297,210.29x = 69,679,837,175.91
  5. Step 5: Solve for x
    x = 69,679,837,175.91/297,210.29
  6. Step 6: Final answer
    x = 234,446.25

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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.