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Finding the Fourth Proportional to 297,368.30, 410,374.36 and 168,306.78

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Solution

The fourth proportional to 297,368.30, 410,374.36 and 168,306.78 is: 232,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,368.30 : 410,374.36 = 168,306.78 : x
  2. Step 2: Convert to fraction form
    297,368.30/410,374.36 = 168,306.78/x
  3. Step 3: Cross multiply
    297,368.30x = 410,374.36 × 168,306.78
  4. Step 4: Simplify right side
    297,368.30x = 69,068,787,126.16
  5. Step 5: Solve for x
    x = 69,068,787,126.16/297,368.30
  6. Step 6: Final answer
    x = 232,266.81

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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.