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Finding the Fourth Proportional to 549,679.80, 824,498.14 and 229,749.04

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Solution

The fourth proportional to 549,679.80, 824,498.14 and 229,749.04 is: 344,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,679.80 : 824,498.14 = 229,749.04 : x
  2. Step 2: Convert to fraction form
    549,679.80/824,498.14 = 229,749.04/x
  3. Step 3: Cross multiply
    549,679.80x = 824,498.14 × 229,749.04
  4. Step 4: Simplify right side
    549,679.80x = 189,427,657,033.82
  5. Step 5: Solve for x
    x = 189,427,657,033.82/549,679.80
  6. Step 6: Final answer
    x = 344,614.55

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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.