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Finding the Fourth Proportional to 585,231.75, 877,847.76 and 164,507.76

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Solution

The fourth proportional to 585,231.75, 877,847.76 and 164,507.76 is: 246,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,231.75 : 877,847.76 = 164,507.76 : x
  2. Step 2: Convert to fraction form
    585,231.75/877,847.76 = 164,507.76/x
  3. Step 3: Cross multiply
    585,231.75x = 877,847.76 × 164,507.76
  4. Step 4: Simplify right side
    585,231.75x = 144,412,768,618.62
  5. Step 5: Solve for x
    x = 144,412,768,618.62/585,231.75
  6. Step 6: Final answer
    x = 246,761.68

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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.