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Finding the Fourth Proportional to 549,649.88, 824,342.16 and 229,628.84

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Solution

The fourth proportional to 549,649.88, 824,342.16 and 229,628.84 is: 344,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,649.88 : 824,342.16 = 229,628.84 : x
  2. Step 2: Convert to fraction form
    549,649.88/824,342.16 = 229,628.84/x
  3. Step 3: Cross multiply
    549,649.88x = 824,342.16 × 229,628.84
  4. Step 4: Simplify right side
    549,649.88x = 189,292,733,963.89
  5. Step 5: Solve for x
    x = 189,292,733,963.89/549,649.88
  6. Step 6: Final answer
    x = 344,387.84

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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.