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Finding the Fourth Proportional to 348,112.74, 480,359.46 and 204,864.24

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Solution

The fourth proportional to 348,112.74, 480,359.46 and 204,864.24 is: 282,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,112.74 : 480,359.46 = 204,864.24 : x
  2. Step 2: Convert to fraction form
    348,112.74/480,359.46 = 204,864.24/x
  3. Step 3: Cross multiply
    348,112.74x = 480,359.46 × 204,864.24
  4. Step 4: Simplify right side
    348,112.74x = 98,408,475,699.71
  5. Step 5: Solve for x
    x = 98,408,475,699.71/348,112.74
  6. Step 6: Final answer
    x = 282,691.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.