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Finding the Fourth Proportional to 416,637.32, 624,827.03 and 150,364.13

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Solution

The fourth proportional to 416,637.32, 624,827.03 and 150,364.13 is: 225,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,637.32 : 624,827.03 = 150,364.13 : x
  2. Step 2: Convert to fraction form
    416,637.32/624,827.03 = 150,364.13/x
  3. Step 3: Cross multiply
    416,637.32x = 624,827.03 × 150,364.13
  4. Step 4: Simplify right side
    416,637.32x = 93,951,568,890.48
  5. Step 5: Solve for x
    x = 93,951,568,890.48/416,637.32
  6. Step 6: Final answer
    x = 225,499.65

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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.