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Finding the Fourth Proportional to 585,243.21, 877,948.43 and 180,469.61

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Solution

The fourth proportional to 585,243.21, 877,948.43 and 180,469.61 is: 270,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,243.21 : 877,948.43 = 180,469.61 : x
  2. Step 2: Convert to fraction form
    585,243.21/877,948.43 = 180,469.61/x
  3. Step 3: Cross multiply
    585,243.21x = 877,948.43 × 180,469.61
  4. Step 4: Simplify right side
    585,243.21x = 158,443,005,470.12
  5. Step 5: Solve for x
    x = 158,443,005,470.12/585,243.21
  6. Step 6: Final answer
    x = 270,730.19

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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.