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Finding the Fourth Proportional to 232,273.40, 348,410.10 and 185,617.40

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Solution

The fourth proportional to 232,273.40, 348,410.10 and 185,617.40 is: 278,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,273.40 : 348,410.10 = 185,617.40 : x
  2. Step 2: Convert to fraction form
    232,273.40/348,410.10 = 185,617.40/x
  3. Step 3: Cross multiply
    232,273.40x = 348,410.10 × 185,617.40
  4. Step 4: Simplify right side
    232,273.40x = 64,670,976,895.74
  5. Step 5: Solve for x
    x = 64,670,976,895.74/232,273.40
  6. Step 6: Final answer
    x = 278,426.10

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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.