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Finding the Fourth Proportional to 226,333.48, 339,491.58 and 76,585

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Solution

The fourth proportional to 226,333.48, 339,491.58 and 76,585 is: 114,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,333.48 : 339,491.58 = 76,585 : x
  2. Step 2: Convert to fraction form
    226,333.48/339,491.58 = 76,585/x
  3. Step 3: Cross multiply
    226,333.48x = 339,491.58 × 76,585
  4. Step 4: Simplify right side
    226,333.48x = 25,999,962,654.30
  5. Step 5: Solve for x
    x = 25,999,962,654.30/226,333.48
  6. Step 6: Final answer
    x = 114,874.58

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1.5x scale

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.