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Finding the Fourth Proportional to 408,823.32, 613,237.77 and 156,035.64

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Solution

The fourth proportional to 408,823.32, 613,237.77 and 156,035.64 is: 234,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,823.32 : 613,237.77 = 156,035.64 : x
  2. Step 2: Convert to fraction form
    408,823.32/613,237.77 = 156,035.64/x
  3. Step 3: Cross multiply
    408,823.32x = 613,237.77 × 156,035.64
  4. Step 4: Simplify right side
    408,823.32x = 95,686,947,914.12
  5. Step 5: Solve for x
    x = 95,686,947,914.12/408,823.32
  6. Step 6: Final answer
    x = 234,054.52

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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.