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Finding the Fourth Proportional to 349,217.88, 523,830.12 and 191,360.16

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Solution

The fourth proportional to 349,217.88, 523,830.12 and 191,360.16 is: 287,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,217.88 : 523,830.12 = 191,360.16 : x
  2. Step 2: Convert to fraction form
    349,217.88/523,830.12 = 191,360.16/x
  3. Step 3: Cross multiply
    349,217.88x = 523,830.12 × 191,360.16
  4. Step 4: Simplify right side
    349,217.88x = 100,240,215,576.02
  5. Step 5: Solve for x
    x = 100,240,215,576.02/349,217.88
  6. Step 6: Final answer
    x = 287,042.05

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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.