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Finding the Fourth Proportional to 701,026.92, 967,462.65 and 406,736.91

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Solution

The fourth proportional to 701,026.92, 967,462.65 and 406,736.91 is: 561,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,026.92 : 967,462.65 = 406,736.91 : x
  2. Step 2: Convert to fraction form
    701,026.92/967,462.65 = 406,736.91/x
  3. Step 3: Cross multiply
    701,026.92x = 967,462.65 × 406,736.91
  4. Step 4: Simplify right side
    701,026.92x = 393,502,768,801.41
  5. Step 5: Solve for x
    x = 393,502,768,801.41/701,026.92
  6. Step 6: Final answer
    x = 561,323.34

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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.