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Finding the Fourth Proportional to 308,182.80, 462,264.48 and 182,683.02

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Solution

The fourth proportional to 308,182.80, 462,264.48 and 182,683.02 is: 274,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,182.80 : 462,264.48 = 182,683.02 : x
  2. Step 2: Convert to fraction form
    308,182.80/462,264.48 = 182,683.02/x
  3. Step 3: Cross multiply
    308,182.80x = 462,264.48 × 182,683.02
  4. Step 4: Simplify right side
    308,182.80x = 84,447,871,245.13
  5. Step 5: Solve for x
    x = 84,447,871,245.13/308,182.80
  6. Step 6: Final answer
    x = 274,018.77

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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.