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Finding the Fourth Proportional to 382,017.68, 527,198.63 and 229,080.77

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Solution

The fourth proportional to 382,017.68, 527,198.63 and 229,080.77 is: 316,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,017.68 : 527,198.63 = 229,080.77 : x
  2. Step 2: Convert to fraction form
    382,017.68/527,198.63 = 229,080.77/x
  3. Step 3: Cross multiply
    382,017.68x = 527,198.63 × 229,080.77
  4. Step 4: Simplify right side
    382,017.68x = 120,771,066,957.94
  5. Step 5: Solve for x
    x = 120,771,066,957.94/382,017.68
  6. Step 6: Final answer
    x = 316,139.99

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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.