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Finding the Fourth Proportional to 549,308.76, 823,693.49 and 229,364.66

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Solution

The fourth proportional to 549,308.76, 823,693.49 and 229,364.66 is: 343,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,308.76 : 823,693.49 = 229,364.66 : x
  2. Step 2: Convert to fraction form
    549,308.76/823,693.49 = 229,364.66/x
  3. Step 3: Cross multiply
    549,308.76x = 823,693.49 × 229,364.66
  4. Step 4: Simplify right side
    549,308.76x = 188,926,179,050.59
  5. Step 5: Solve for x
    x = 188,926,179,050.59/549,308.76
  6. Step 6: Final answer
    x = 343,934.40

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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.