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Finding the Fourth Proportional to 370,234.50, 510,923.97 and 200,468.22

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Solution

The fourth proportional to 370,234.50, 510,923.97 and 200,468.22 is: 276,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,234.50 : 510,923.97 = 200,468.22 : x
  2. Step 2: Convert to fraction form
    370,234.50/510,923.97 = 200,468.22/x
  3. Step 3: Cross multiply
    370,234.50x = 510,923.97 × 200,468.22
  4. Step 4: Simplify right side
    370,234.50x = 102,424,018,821.23
  5. Step 5: Solve for x
    x = 102,424,018,821.23/370,234.50
  6. Step 6: Final answer
    x = 276,646.34

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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.