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Finding the Fourth Proportional to 332,574.20, 498,861.30 and 314,203.40

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Solution

The fourth proportional to 332,574.20, 498,861.30 and 314,203.40 is: 471,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,574.20 : 498,861.30 = 314,203.40 : x
  2. Step 2: Convert to fraction form
    332,574.20/498,861.30 = 314,203.40/x
  3. Step 3: Cross multiply
    332,574.20x = 498,861.30 × 314,203.40
  4. Step 4: Simplify right side
    332,574.20x = 156,743,916,588.42
  5. Step 5: Solve for x
    x = 156,743,916,588.42/332,574.20
  6. Step 6: Final answer
    x = 471,305.10

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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.