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Finding the Fourth Proportional to 549,422.73, 824,415.39 and 261,560.16

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Solution

The fourth proportional to 549,422.73, 824,415.39 and 261,560.16 is: 392,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,422.73 : 824,415.39 = 261,560.16 : x
  2. Step 2: Convert to fraction form
    549,422.73/824,415.39 = 261,560.16/x
  3. Step 3: Cross multiply
    549,422.73x = 824,415.39 × 261,560.16
  4. Step 4: Simplify right side
    549,422.73x = 215,634,221,314.86
  5. Step 5: Solve for x
    x = 215,634,221,314.86/549,422.73
  6. Step 6: Final answer
    x = 392,474.15

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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.