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Finding the Fourth Proportional to 524,042.72, 723,727.88 and 361,122.84

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Solution

The fourth proportional to 524,042.72, 723,727.88 and 361,122.84 is: 498,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,042.72 : 723,727.88 = 361,122.84 : x
  2. Step 2: Convert to fraction form
    524,042.72/723,727.88 = 361,122.84/x
  3. Step 3: Cross multiply
    524,042.72x = 723,727.88 × 361,122.84
  4. Step 4: Simplify right side
    524,042.72x = 261,354,664,925.89
  5. Step 5: Solve for x
    x = 261,354,664,925.89/524,042.72
  6. Step 6: Final answer
    x = 498,727.79

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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.