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Finding the Fourth Proportional to 369,843.66, 510,384.78 and 200,077.38

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Solution

The fourth proportional to 369,843.66, 510,384.78 and 200,077.38 is: 276,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,843.66 : 510,384.78 = 200,077.38 : x
  2. Step 2: Convert to fraction form
    369,843.66/510,384.78 = 200,077.38/x
  3. Step 3: Cross multiply
    369,843.66x = 510,384.78 × 200,077.38
  4. Step 4: Simplify right side
    369,843.66x = 102,116,449,574.28
  5. Step 5: Solve for x
    x = 102,116,449,574.28/369,843.66
  6. Step 6: Final answer
    x = 276,107.07

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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.