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Finding the Fourth Proportional to 409,632.64, 614,532.80 and 232,218.88

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Solution

The fourth proportional to 409,632.64, 614,532.80 and 232,218.88 is: 348,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,632.64 : 614,532.80 = 232,218.88 : x
  2. Step 2: Convert to fraction form
    409,632.64/614,532.80 = 232,218.88/x
  3. Step 3: Cross multiply
    409,632.64x = 614,532.80 × 232,218.88
  4. Step 4: Simplify right side
    409,632.64x = 142,706,118,539.26
  5. Step 5: Solve for x
    x = 142,706,118,539.26/409,632.64
  6. Step 6: Final answer
    x = 348,375.85

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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.