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Finding the Fourth Proportional to 542,965.10, 816,002.85 and 474,536.30

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Solution

The fourth proportional to 542,965.10, 816,002.85 and 474,536.30 is: 713,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,965.10 : 816,002.85 = 474,536.30 : x
  2. Step 2: Convert to fraction form
    542,965.10/816,002.85 = 474,536.30/x
  3. Step 3: Cross multiply
    542,965.10x = 816,002.85 × 474,536.30
  4. Step 4: Simplify right side
    542,965.10x = 387,222,973,228.46
  5. Step 5: Solve for x
    x = 387,222,973,228.46/542,965.10
  6. Step 6: Final answer
    x = 713,163.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.