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Finding the Fourth Proportional to 557,110.62, 768,860.24 and 315,435.78

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Solution

The fourth proportional to 557,110.62, 768,860.24 and 315,435.78 is: 435,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,110.62 : 768,860.24 = 315,435.78 : x
  2. Step 2: Convert to fraction form
    557,110.62/768,860.24 = 315,435.78/x
  3. Step 3: Cross multiply
    557,110.62x = 768,860.24 × 315,435.78
  4. Step 4: Simplify right side
    557,110.62x = 242,526,027,938.21
  5. Step 5: Solve for x
    x = 242,526,027,938.21/557,110.62
  6. Step 6: Final answer
    x = 435,328.32

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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.