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Finding the Fourth Proportional to 640,183.74, 883,489 and 353,697.68

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Solution

The fourth proportional to 640,183.74, 883,489 and 353,697.68 is: 488,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,183.74 : 883,489 = 353,697.68 : x
  2. Step 2: Convert to fraction form
    640,183.74/883,489 = 353,697.68/x
  3. Step 3: Cross multiply
    640,183.74x = 883,489 × 353,697.68
  4. Step 4: Simplify right side
    640,183.74x = 312,488,009,605.52
  5. Step 5: Solve for x
    x = 312,488,009,605.52/640,183.74
  6. Step 6: Final answer
    x = 488,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.