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Finding the Fourth Proportional to 400,870.92, 600,784.14 and 223,370.76

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Solution

The fourth proportional to 400,870.92, 600,784.14 and 223,370.76 is: 334,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,870.92 : 600,784.14 = 223,370.76 : x
  2. Step 2: Convert to fraction form
    400,870.92/600,784.14 = 223,370.76/x
  3. Step 3: Cross multiply
    400,870.92x = 600,784.14 × 223,370.76
  4. Step 4: Simplify right side
    400,870.92x = 134,197,609,947.75
  5. Step 5: Solve for x
    x = 134,197,609,947.75/400,870.92
  6. Step 6: Final answer
    x = 334,765.14

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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.