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Finding the Fourth Proportional to 308,210.60, 462,024.30 and 181,947.80

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Solution

The fourth proportional to 308,210.60, 462,024.30 and 181,947.80 is: 272,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,210.60 : 462,024.30 = 181,947.80 : x
  2. Step 2: Convert to fraction form
    308,210.60/462,024.30 = 181,947.80/x
  3. Step 3: Cross multiply
    308,210.60x = 462,024.30 × 181,947.80
  4. Step 4: Simplify right side
    308,210.60x = 84,064,304,931.54
  5. Step 5: Solve for x
    x = 84,064,304,931.54/308,210.60
  6. Step 6: Final answer
    x = 272,749.56

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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.