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Finding the Fourth Proportional to 348,115.28, 480,362.88 and 204,866.76

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Solution

The fourth proportional to 348,115.28, 480,362.88 and 204,866.76 is: 282,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,115.28 : 480,362.88 = 204,866.76 : x
  2. Step 2: Convert to fraction form
    348,115.28/480,362.88 = 204,866.76/x
  3. Step 3: Cross multiply
    348,115.28x = 480,362.88 × 204,866.76
  4. Step 4: Simplify right side
    348,115.28x = 98,410,386,849.87
  5. Step 5: Solve for x
    x = 98,410,386,849.87/348,115.28
  6. Step 6: Final answer
    x = 282,694.82

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1.5x scale

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.