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Finding the Fourth Proportional to 512,969.54, 769,417.85 and 157,946.54

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Solution

The fourth proportional to 512,969.54, 769,417.85 and 157,946.54 is: 236,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,969.54 : 769,417.85 = 157,946.54 : x
  2. Step 2: Convert to fraction form
    512,969.54/769,417.85 = 157,946.54/x
  3. Step 3: Cross multiply
    512,969.54x = 769,417.85 × 157,946.54
  4. Step 4: Simplify right side
    512,969.54x = 121,526,883,769.52
  5. Step 5: Solve for x
    x = 121,526,883,769.52/512,969.54
  6. Step 6: Final answer
    x = 236,908.58

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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.