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Finding the Fourth Proportional to 510,391.48, 766,119.24 and 226,281.54

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Solution

The fourth proportional to 510,391.48, 766,119.24 and 226,281.54 is: 339,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,391.48 : 766,119.24 = 226,281.54 : x
  2. Step 2: Convert to fraction form
    510,391.48/766,119.24 = 226,281.54/x
  3. Step 3: Cross multiply
    510,391.48x = 766,119.24 × 226,281.54
  4. Step 4: Simplify right side
    510,391.48x = 173,358,643,475.22
  5. Step 5: Solve for x
    x = 173,358,643,475.22/510,391.48
  6. Step 6: Final answer
    x = 339,658.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.