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Finding the Fourth Proportional to 369,229.50, 509,537.16 and 199,463.64

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Solution

The fourth proportional to 369,229.50, 509,537.16 and 199,463.64 is: 275,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,229.50 : 509,537.16 = 199,463.64 : x
  2. Step 2: Convert to fraction form
    369,229.50/509,537.16 = 199,463.64/x
  3. Step 3: Cross multiply
    369,229.50x = 509,537.16 × 199,463.64
  4. Step 4: Simplify right side
    369,229.50x = 101,634,136,648.86
  5. Step 5: Solve for x
    x = 101,634,136,648.86/369,229.50
  6. Step 6: Final answer
    x = 275,260.07

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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.