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Finding the Fourth Proportional to 585,243.30, 877,864.98 and 164,519.22

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Solution

The fourth proportional to 585,243.30, 877,864.98 and 164,519.22 is: 246,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,243.30 : 877,864.98 = 164,519.22 : x
  2. Step 2: Convert to fraction form
    585,243.30/877,864.98 = 164,519.22/x
  3. Step 3: Cross multiply
    585,243.30x = 877,864.98 × 164,519.22
  4. Step 4: Simplify right side
    585,243.30x = 144,425,661,774.92
  5. Step 5: Solve for x
    x = 144,425,661,774.92/585,243.30
  6. Step 6: Final answer
    x = 246,778.84

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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.