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Finding the Fourth Proportional to 549,732.32, 823,820.88 and 233,871.20

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Solution

The fourth proportional to 549,732.32, 823,820.88 and 233,871.20 is: 350,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,732.32 : 823,820.88 = 233,871.20 : x
  2. Step 2: Convert to fraction form
    549,732.32/823,820.88 = 233,871.20/x
  3. Step 3: Cross multiply
    549,732.32x = 823,820.88 × 233,871.20
  4. Step 4: Simplify right side
    549,732.32x = 192,667,977,790.66
  5. Step 5: Solve for x
    x = 192,667,977,790.66/549,732.32
  6. Step 6: Final answer
    x = 350,475.99

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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.