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Finding the Fourth Proportional to 490,204.96, 735,937.14 and 377,956.48

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Solution

The fourth proportional to 490,204.96, 735,937.14 and 377,956.48 is: 567,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,204.96 : 735,937.14 = 377,956.48 : x
  2. Step 2: Convert to fraction form
    490,204.96/735,937.14 = 377,956.48/x
  3. Step 3: Cross multiply
    490,204.96x = 735,937.14 × 377,956.48
  4. Step 4: Simplify right side
    490,204.96x = 278,152,210,935.67
  5. Step 5: Solve for x
    x = 278,152,210,935.67/490,204.96
  6. Step 6: Final answer
    x = 567,420.23

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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.