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Finding the Fourth Proportional to 297,310.32, 410,154.30 and 176,456.70

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Solution

The fourth proportional to 297,310.32, 410,154.30 and 176,456.70 is: 243,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,310.32 : 410,154.30 = 176,456.70 : x
  2. Step 2: Convert to fraction form
    297,310.32/410,154.30 = 176,456.70/x
  3. Step 3: Cross multiply
    297,310.32x = 410,154.30 × 176,456.70
  4. Step 4: Simplify right side
    297,310.32x = 72,374,474,268.81
  5. Step 5: Solve for x
    x = 72,374,474,268.81/297,310.32
  6. Step 6: Final answer
    x = 243,430.75

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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.