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Finding the Fourth Proportional to 402,178.51, 603,522 and 224,801.87

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Solution

The fourth proportional to 402,178.51, 603,522 and 224,801.87 is: 337,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,178.51 : 603,522 = 224,801.87 : x
  2. Step 2: Convert to fraction form
    402,178.51/603,522 = 224,801.87/x
  3. Step 3: Cross multiply
    402,178.51x = 603,522 × 224,801.87
  4. Step 4: Simplify right side
    402,178.51x = 135,672,874,186.14
  5. Step 5: Solve for x
    x = 135,672,874,186.14/402,178.51
  6. Step 6: Final answer
    x = 337,344.91

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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.