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Finding the Fourth Proportional to 367,945.20, 507,853.80 and 224,825.76

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Solution

The fourth proportional to 367,945.20, 507,853.80 and 224,825.76 is: 310,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,945.20 : 507,853.80 = 224,825.76 : x
  2. Step 2: Convert to fraction form
    367,945.20/507,853.80 = 224,825.76/x
  3. Step 3: Cross multiply
    367,945.20x = 507,853.80 × 224,825.76
  4. Step 4: Simplify right side
    367,945.20x = 114,178,616,553.89
  5. Step 5: Solve for x
    x = 114,178,616,553.89/367,945.20
  6. Step 6: Final answer
    x = 310,314.19

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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.