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Finding the Fourth Proportional to 247,374.80, 370,624.80 and 209,758.40

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Solution

The fourth proportional to 247,374.80, 370,624.80 and 209,758.40 is: 314,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,374.80 : 370,624.80 = 209,758.40 : x
  2. Step 2: Convert to fraction form
    247,374.80/370,624.80 = 209,758.40/x
  3. Step 3: Cross multiply
    247,374.80x = 370,624.80 × 209,758.40
  4. Step 4: Simplify right side
    247,374.80x = 77,741,665,048.32
  5. Step 5: Solve for x
    x = 77,741,665,048.32/247,374.80
  6. Step 6: Final answer
    x = 314,266.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.