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Finding the Fourth Proportional to 549,609.51, 824,414.95 and 150,253.74

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Solution

The fourth proportional to 549,609.51, 824,414.95 and 150,253.74 is: 225,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,609.51 : 824,414.95 = 150,253.74 : x
  2. Step 2: Convert to fraction form
    549,609.51/824,414.95 = 150,253.74/x
  3. Step 3: Cross multiply
    549,609.51x = 824,414.95 × 150,253.74
  4. Step 4: Simplify right side
    549,609.51x = 123,871,431,234.82
  5. Step 5: Solve for x
    x = 123,871,431,234.82/549,609.51
  6. Step 6: Final answer
    x = 225,380.80

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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.