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Finding the Fourth Proportional to 370,264.78, 510,967.83 and 200,498.92

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Solution

The fourth proportional to 370,264.78, 510,967.83 and 200,498.92 is: 276,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,264.78 : 510,967.83 = 200,498.92 : x
  2. Step 2: Convert to fraction form
    370,264.78/510,967.83 = 200,498.92/x
  3. Step 3: Cross multiply
    370,264.78x = 510,967.83 × 200,498.92
  4. Step 4: Simplify right side
    370,264.78x = 102,448,498,069.74
  5. Step 5: Solve for x
    x = 102,448,498,069.74/370,264.78
  6. Step 6: Final answer
    x = 276,689.83

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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.