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Finding the Fourth Proportional to 367,768.42, 507,608.13 and 224,648.98

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Solution

The fourth proportional to 367,768.42, 507,608.13 and 224,648.98 is: 310,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,768.42 : 507,608.13 = 224,648.98 : x
  2. Step 2: Convert to fraction form
    367,768.42/507,608.13 = 224,648.98/x
  3. Step 3: Cross multiply
    367,768.42x = 507,608.13 × 224,648.98
  4. Step 4: Simplify right side
    367,768.42x = 114,033,648,644.21
  5. Step 5: Solve for x
    x = 114,033,648,644.21/367,768.42
  6. Step 6: Final answer
    x = 310,069.17

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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.