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Finding the Fourth Proportional to 369,340.02, 509,732.76 and 206,022.25

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Solution

The fourth proportional to 369,340.02, 509,732.76 and 206,022.25 is: 284,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,340.02 : 509,732.76 = 206,022.25 : x
  2. Step 2: Convert to fraction form
    369,340.02/509,732.76 = 206,022.25/x
  3. Step 3: Cross multiply
    369,340.02x = 509,732.76 × 206,022.25
  4. Step 4: Simplify right side
    369,340.02x = 105,016,289,083.80
  5. Step 5: Solve for x
    x = 105,016,289,083.80/369,340.02
  6. Step 6: Final answer
    x = 284,334.99

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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.