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Finding the Fourth Proportional to 585,243.70, 877,949.18 and 180,470.10

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Solution

The fourth proportional to 585,243.70, 877,949.18 and 180,470.10 is: 270,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,243.70 : 877,949.18 = 180,470.10 : x
  2. Step 2: Convert to fraction form
    585,243.70/877,949.18 = 180,470.10/x
  3. Step 3: Cross multiply
    585,243.70x = 877,949.18 × 180,470.10
  4. Step 4: Simplify right side
    585,243.70x = 158,443,576,309.52
  5. Step 5: Solve for x
    x = 158,443,576,309.52/585,243.70
  6. Step 6: Final answer
    x = 270,730.94

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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.