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Finding the Fourth Proportional to 549,310.35, 824,412.49 and 283,146.98

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Solution

The fourth proportional to 549,310.35, 824,412.49 and 283,146.98 is: 424,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,310.35 : 824,412.49 = 283,146.98 : x
  2. Step 2: Convert to fraction form
    549,310.35/824,412.49 = 283,146.98/x
  3. Step 3: Cross multiply
    549,310.35x = 824,412.49 × 283,146.98
  4. Step 4: Simplify right side
    549,310.35x = 233,429,906,817.78
  5. Step 5: Solve for x
    x = 233,429,906,817.78/549,310.35
  6. Step 6: Final answer
    x = 424,950.86

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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.