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Finding the Fourth Proportional to 308,288, 462,432.02 and 86,672

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Solution

The fourth proportional to 308,288, 462,432.02 and 86,672 is: 130,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,288 : 462,432.02 = 86,672 : x
  2. Step 2: Convert to fraction form
    308,288/462,432.02 = 86,672/x
  3. Step 3: Cross multiply
    308,288x = 462,432.02 × 86,672
  4. Step 4: Simplify right side
    308,288x = 40,079,908,037.44
  5. Step 5: Solve for x
    x = 40,079,908,037.44/308,288
  6. Step 6: Final answer
    x = 130,008.01

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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.