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Finding the Fourth Proportional to 413,575.61, 620,024.36 and 147,184.43

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Solution

The fourth proportional to 413,575.61, 620,024.36 and 147,184.43 is: 220,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,575.61 : 620,024.36 = 147,184.43 : x
  2. Step 2: Convert to fraction form
    413,575.61/620,024.36 = 147,184.43/x
  3. Step 3: Cross multiply
    413,575.61x = 620,024.36 × 147,184.43
  4. Step 4: Simplify right side
    413,575.61x = 91,257,928,176.67
  5. Step 5: Solve for x
    x = 91,257,928,176.67/413,575.61
  6. Step 6: Final answer
    x = 220,655.97

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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.