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Finding the Fourth Proportional to 402,270.13, 603,659.75 and 224,893.50

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Solution

The fourth proportional to 402,270.13, 603,659.75 and 224,893.50 is: 337,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,270.13 : 603,659.75 = 224,893.50 : x
  2. Step 2: Convert to fraction form
    402,270.13/603,659.75 = 224,893.50/x
  3. Step 3: Cross multiply
    402,270.13x = 603,659.75 × 224,893.50
  4. Step 4: Simplify right side
    402,270.13x = 135,759,153,986.63
  5. Step 5: Solve for x
    x = 135,759,153,986.63/402,270.13
  6. Step 6: Final answer
    x = 337,482.56

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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.