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Finding the Fourth Proportional to 458,524.04, 687,472.32 and 233,448.92

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Solution

The fourth proportional to 458,524.04, 687,472.32 and 233,448.92 is: 350,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,524.04 : 687,472.32 = 233,448.92 : x
  2. Step 2: Convert to fraction form
    458,524.04/687,472.32 = 233,448.92/x
  3. Step 3: Cross multiply
    458,524.04x = 687,472.32 × 233,448.92
  4. Step 4: Simplify right side
    458,524.04x = 160,489,670,633.89
  5. Step 5: Solve for x
    x = 160,489,670,633.89/458,524.04
  6. Step 6: Final answer
    x = 350,013.65

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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.