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Finding the Fourth Proportional to 369,227.50, 509,533.96 and 199,461.64

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Solution

The fourth proportional to 369,227.50, 509,533.96 and 199,461.64 is: 275,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,227.50 : 509,533.96 = 199,461.64 : x
  2. Step 2: Convert to fraction form
    369,227.50/509,533.96 = 199,461.64/x
  3. Step 3: Cross multiply
    369,227.50x = 509,533.96 × 199,461.64
  4. Step 4: Simplify right side
    369,227.50x = 101,632,479,297.29
  5. Step 5: Solve for x
    x = 101,632,479,297.29/369,227.50
  6. Step 6: Final answer
    x = 275,257.07

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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.