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Finding the Fourth Proportional to 557,905.78, 769,906.02 and 316,186.30

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Solution

The fourth proportional to 557,905.78, 769,906.02 and 316,186.30 is: 436,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,905.78 : 769,906.02 = 316,186.30 : x
  2. Step 2: Convert to fraction form
    557,905.78/769,906.02 = 316,186.30/x
  3. Step 3: Cross multiply
    557,905.78x = 769,906.02 × 316,186.30
  4. Step 4: Simplify right side
    557,905.78x = 243,433,735,811.53
  5. Step 5: Solve for x
    x = 243,433,735,811.53/557,905.78
  6. Step 6: Final answer
    x = 436,334.85

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1.5x scale

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.