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Finding the Fourth Proportional to 549,782.38, 824,695.38 and 261,524.80

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Solution

The fourth proportional to 549,782.38, 824,695.38 and 261,524.80 is: 392,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,782.38 : 824,695.38 = 261,524.80 : x
  2. Step 2: Convert to fraction form
    549,782.38/824,695.38 = 261,524.80/x
  3. Step 3: Cross multiply
    549,782.38x = 824,695.38 × 261,524.80
  4. Step 4: Simplify right side
    549,782.38x = 215,678,294,315.42
  5. Step 5: Solve for x
    x = 215,678,294,315.42/549,782.38
  6. Step 6: Final answer
    x = 392,297.57

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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.