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Finding the Fourth Proportional to 684,157, 944,165.84 and 382,351

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Solution

The fourth proportional to 684,157, 944,165.84 and 382,351 is: 527,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,157 : 944,165.84 = 382,351 : x
  2. Step 2: Convert to fraction form
    684,157/944,165.84 = 382,351/x
  3. Step 3: Cross multiply
    684,157x = 944,165.84 × 382,351
  4. Step 4: Simplify right side
    684,157x = 361,002,753,089.84
  5. Step 5: Solve for x
    x = 361,002,753,089.84/684,157
  6. Step 6: Final answer
    x = 527,660.69

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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.