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Finding the Fourth Proportional to 426,323.76, 588,327.84 and 232,731.60

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Solution

The fourth proportional to 426,323.76, 588,327.84 and 232,731.60 is: 321,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,323.76 : 588,327.84 = 232,731.60 : x
  2. Step 2: Convert to fraction form
    426,323.76/588,327.84 = 232,731.60/x
  3. Step 3: Cross multiply
    426,323.76x = 588,327.84 × 232,731.60
  4. Step 4: Simplify right side
    426,323.76x = 136,922,479,527.74
  5. Step 5: Solve for x
    x = 136,922,479,527.74/426,323.76
  6. Step 6: Final answer
    x = 321,170.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.