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Finding the Fourth Proportional to 362,470.48, 544,037.84 and 194,180.80

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Solution

The fourth proportional to 362,470.48, 544,037.84 and 194,180.80 is: 291,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,470.48 : 544,037.84 = 194,180.80 : x
  2. Step 2: Convert to fraction form
    362,470.48/544,037.84 = 194,180.80/x
  3. Step 3: Cross multiply
    362,470.48x = 544,037.84 × 194,180.80
  4. Step 4: Simplify right side
    362,470.48x = 105,641,703,001.47
  5. Step 5: Solve for x
    x = 105,641,703,001.47/362,470.48
  6. Step 6: Final answer
    x = 291,449.12

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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.