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Finding the Fourth Proportional to 413,572.61, 620,019.92 and 147,181.43

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Solution

The fourth proportional to 413,572.61, 620,019.92 and 147,181.43 is: 220,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,572.61 : 620,019.92 = 147,181.43 : x
  2. Step 2: Convert to fraction form
    413,572.61/620,019.92 = 147,181.43/x
  3. Step 3: Cross multiply
    413,572.61x = 620,019.92 × 147,181.43
  4. Step 4: Simplify right side
    413,572.61x = 91,255,415,721.94
  5. Step 5: Solve for x
    x = 91,255,415,721.94/413,572.61
  6. Step 6: Final answer
    x = 220,651.50

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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.