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Finding the Fourth Proportional to 383,264.55, 574,460.87 and 233,174

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Solution

The fourth proportional to 383,264.55, 574,460.87 and 233,174 is: 349,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,264.55 : 574,460.87 = 233,174 : x
  2. Step 2: Convert to fraction form
    383,264.55/574,460.87 = 233,174/x
  3. Step 3: Cross multiply
    383,264.55x = 574,460.87 × 233,174
  4. Step 4: Simplify right side
    383,264.55x = 133,949,338,901.38
  5. Step 5: Solve for x
    x = 133,949,338,901.38/383,264.55
  6. Step 6: Final answer
    x = 349,495.77

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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.