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Finding the Fourth Proportional to 408,153.68, 612,236.68 and 155,448.16

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Solution

The fourth proportional to 408,153.68, 612,236.68 and 155,448.16 is: 233,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,153.68 : 612,236.68 = 155,448.16 : x
  2. Step 2: Convert to fraction form
    408,153.68/612,236.68 = 155,448.16/x
  3. Step 3: Cross multiply
    408,153.68x = 612,236.68 × 155,448.16
  4. Step 4: Simplify right side
    408,153.68x = 95,171,065,390.51
  5. Step 5: Solve for x
    x = 95,171,065,390.51/408,153.68
  6. Step 6: Final answer
    x = 233,174.59

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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.