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Finding the Fourth Proportional to 502,414.68, 693,332.10 and 276,074.76

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Solution

The fourth proportional to 502,414.68, 693,332.10 and 276,074.76 is: 380,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,414.68 : 693,332.10 = 276,074.76 : x
  2. Step 2: Convert to fraction form
    502,414.68/693,332.10 = 276,074.76/x
  3. Step 3: Cross multiply
    502,414.68x = 693,332.10 × 276,074.76
  4. Step 4: Simplify right side
    502,414.68x = 191,411,493,107.80
  5. Step 5: Solve for x
    x = 191,411,493,107.80/502,414.68
  6. Step 6: Final answer
    x = 380,983.08

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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.