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Finding the Fourth Proportional to 325,710.80, 488,664.96 and 157,199.71

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Solution

The fourth proportional to 325,710.80, 488,664.96 and 157,199.71 is: 235,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,710.80 : 488,664.96 = 157,199.71 : x
  2. Step 2: Convert to fraction form
    325,710.80/488,664.96 = 157,199.71/x
  3. Step 3: Cross multiply
    325,710.80x = 488,664.96 × 157,199.71
  4. Step 4: Simplify right side
    325,710.80x = 76,817,990,904.74
  5. Step 5: Solve for x
    x = 76,817,990,904.74/325,710.80
  6. Step 6: Final answer
    x = 235,847.24

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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.