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Finding the Fourth Proportional to 297,038.32, 409,934.60 and 169,711.16

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Solution

The fourth proportional to 297,038.32, 409,934.60 and 169,711.16 is: 234,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038.32 : 409,934.60 = 169,711.16 : x
  2. Step 2: Convert to fraction form
    297,038.32/409,934.60 = 169,711.16/x
  3. Step 3: Cross multiply
    297,038.32x = 409,934.60 × 169,711.16
  4. Step 4: Simplify right side
    297,038.32x = 69,570,476,490.14
  5. Step 5: Solve for x
    x = 69,570,476,490.14/297,038.32
  6. Step 6: Final answer
    x = 234,213.81

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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.