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Finding the Fourth Proportional to 842,371, 1,162,469.82 and 460,400.38

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Solution

The fourth proportional to 842,371, 1,162,469.82 and 460,400.38 is: 635,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,371 : 1,162,469.82 = 460,400.38 : x
  2. Step 2: Convert to fraction form
    842,371/1,162,469.82 = 460,400.38/x
  3. Step 3: Cross multiply
    842,371x = 1,162,469.82 × 460,400.38
  4. Step 4: Simplify right side
    842,371x = 535,201,546,866.53
  5. Step 5: Solve for x
    x = 535,201,546,866.53/842,371
  6. Step 6: Final answer
    x = 635,351.34

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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.