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Finding the Fourth Proportional to 327,562.84, 491,353.98 and 127,875.16

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Solution

The fourth proportional to 327,562.84, 491,353.98 and 127,875.16 is: 191,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,562.84 : 491,353.98 = 127,875.16 : x
  2. Step 2: Convert to fraction form
    327,562.84/491,353.98 = 127,875.16/x
  3. Step 3: Cross multiply
    327,562.84x = 491,353.98 × 127,875.16
  4. Step 4: Simplify right side
    327,562.84x = 62,831,968,809.14
  5. Step 5: Solve for x
    x = 62,831,968,809.14/327,562.84
  6. Step 6: Final answer
    x = 191,816.53

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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.