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Finding the Fourth Proportional to 701,032.47, 967,493.09 and 414,644.82

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Solution

The fourth proportional to 701,032.47, 967,493.09 and 414,644.82 is: 572,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,032.47 : 967,493.09 = 414,644.82 : x
  2. Step 2: Convert to fraction form
    701,032.47/967,493.09 = 414,644.82/x
  3. Step 3: Cross multiply
    701,032.47x = 967,493.09 × 414,644.82
  4. Step 4: Simplify right side
    701,032.47x = 401,165,999,190.91
  5. Step 5: Solve for x
    x = 401,165,999,190.91/701,032.47
  6. Step 6: Final answer
    x = 572,250.24

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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.