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Finding the Fourth Proportional to 307,218.10, 460,827.15 and 157,408.60

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Solution

The fourth proportional to 307,218.10, 460,827.15 and 157,408.60 is: 236,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,218.10 : 460,827.15 = 157,408.60 : x
  2. Step 2: Convert to fraction form
    307,218.10/460,827.15 = 157,408.60/x
  3. Step 3: Cross multiply
    307,218.10x = 460,827.15 × 157,408.60
  4. Step 4: Simplify right side
    307,218.10x = 72,538,156,523.49
  5. Step 5: Solve for x
    x = 72,538,156,523.49/307,218.10
  6. Step 6: Final answer
    x = 236,112.90

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1.5x scale

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.