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Finding the Fourth Proportional to 382,411.83, 527,728.77 and 212,642.31

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Solution

The fourth proportional to 382,411.83, 527,728.77 and 212,642.31 is: 293,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,411.83 : 527,728.77 = 212,642.31 : x
  2. Step 2: Convert to fraction form
    382,411.83/527,728.77 = 212,642.31/x
  3. Step 3: Cross multiply
    382,411.83x = 527,728.77 × 212,642.31
  4. Step 4: Simplify right side
    382,411.83x = 112,217,466,025.58
  5. Step 5: Solve for x
    x = 112,217,466,025.58/382,411.83
  6. Step 6: Final answer
    x = 293,446.64

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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.