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Finding the Fourth Proportional to 549,722.49, 824,755.92 and 165,486.57

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Solution

The fourth proportional to 549,722.49, 824,755.92 and 165,486.57 is: 248,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,722.49 : 824,755.92 = 165,486.57 : x
  2. Step 2: Convert to fraction form
    549,722.49/824,755.92 = 165,486.57/x
  3. Step 3: Cross multiply
    549,722.49x = 824,755.92 × 165,486.57
  4. Step 4: Simplify right side
    549,722.49x = 136,486,028,287.99
  5. Step 5: Solve for x
    x = 136,486,028,287.99/549,722.49
  6. Step 6: Final answer
    x = 248,281.69

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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.