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Finding the Fourth Proportional to 297,038.58, 409,934.93 and 169,711.44

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Solution

The fourth proportional to 297,038.58, 409,934.93 and 169,711.44 is: 234,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038.58 : 409,934.93 = 169,711.44 : x
  2. Step 2: Convert to fraction form
    297,038.58/409,934.93 = 169,711.44/x
  3. Step 3: Cross multiply
    297,038.58x = 409,934.93 × 169,711.44
  4. Step 4: Simplify right side
    297,038.58x = 69,570,646,428.04
  5. Step 5: Solve for x
    x = 69,570,646,428.04/297,038.58
  6. Step 6: Final answer
    x = 234,214.18

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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.