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Finding the Fourth Proportional to 375,323.50, 517,946.46 and 205,563.70

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Solution

The fourth proportional to 375,323.50, 517,946.46 and 205,563.70 is: 283,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,323.50 : 517,946.46 = 205,563.70 : x
  2. Step 2: Convert to fraction form
    375,323.50/517,946.46 = 205,563.70/x
  3. Step 3: Cross multiply
    375,323.50x = 517,946.46 × 205,563.70
  4. Step 4: Simplify right side
    375,323.50x = 106,470,990,719.50
  5. Step 5: Solve for x
    x = 106,470,990,719.50/375,323.50
  6. Step 6: Final answer
    x = 283,677.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.