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Finding the Fourth Proportional to 510,524.82, 765,901.44 and 155,566.62

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Solution

The fourth proportional to 510,524.82, 765,901.44 and 155,566.62 is: 233,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,524.82 : 765,901.44 = 155,566.62 : x
  2. Step 2: Convert to fraction form
    510,524.82/765,901.44 = 155,566.62/x
  3. Step 3: Cross multiply
    510,524.82x = 765,901.44 × 155,566.62
  4. Step 4: Simplify right side
    510,524.82x = 119,148,698,273.93
  5. Step 5: Solve for x
    x = 119,148,698,273.93/510,524.82
  6. Step 6: Final answer
    x = 233,384.73

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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.