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Finding the Fourth Proportional to 367,681.38, 507,455.53 and 224,524.00

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Solution

The fourth proportional to 367,681.38, 507,455.53 and 224,524.00 is: 309,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,681.38 : 507,455.53 = 224,524.00 : x
  2. Step 2: Convert to fraction form
    367,681.38/507,455.53 = 224,524.00/x
  3. Step 3: Cross multiply
    367,681.38x = 507,455.53 × 224,524.00
  4. Step 4: Simplify right side
    367,681.38x = 113,935,946,753.68
  5. Step 5: Solve for x
    x = 113,935,946,753.68/367,681.38
  6. Step 6: Final answer
    x = 309,876.85

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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.