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Finding the Fourth Proportional to 400,281.40, 600,370.24 and 150,931

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Solution

The fourth proportional to 400,281.40, 600,370.24 and 150,931 is: 226,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,281.40 : 600,370.24 = 150,931 : x
  2. Step 2: Convert to fraction form
    400,281.40/600,370.24 = 150,931/x
  3. Step 3: Cross multiply
    400,281.40x = 600,370.24 × 150,931
  4. Step 4: Simplify right side
    400,281.40x = 90,614,480,693.44
  5. Step 5: Solve for x
    x = 90,614,480,693.44/400,281.40
  6. Step 6: Final answer
    x = 226,376.95

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