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Finding the Fourth Proportional to 369,674.71, 510,151.14 and 199,908.84

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Solution

The fourth proportional to 369,674.71, 510,151.14 and 199,908.84 is: 275,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,674.71 : 510,151.14 = 199,908.84 : x
  2. Step 2: Convert to fraction form
    369,674.71/510,151.14 = 199,908.84/x
  3. Step 3: Cross multiply
    369,674.71x = 510,151.14 × 199,908.84
  4. Step 4: Simplify right side
    369,674.71x = 101,983,722,622.08
  5. Step 5: Solve for x
    x = 101,983,722,622.08/369,674.71
  6. Step 6: Final answer
    x = 275,874.22

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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.