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Finding the Fourth Proportional to 369,991.50, 510,588.24 and 200,225.62

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Solution

The fourth proportional to 369,991.50, 510,588.24 and 200,225.62 is: 276,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,991.50 : 510,588.24 = 200,225.62 : x
  2. Step 2: Convert to fraction form
    369,991.50/510,588.24 = 200,225.62/x
  3. Step 3: Cross multiply
    369,991.50x = 510,588.24 × 200,225.62
  4. Step 4: Simplify right side
    369,991.50x = 102,232,846,918.71
  5. Step 5: Solve for x
    x = 102,232,846,918.71/369,991.50
  6. Step 6: Final answer
    x = 276,311.34

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1.5x scale

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.