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Finding the Fourth Proportional to 701,188.72, 967,838.52 and 414,808.24

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Solution

The fourth proportional to 701,188.72, 967,838.52 and 414,808.24 is: 572,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,188.72 : 967,838.52 = 414,808.24 : x
  2. Step 2: Convert to fraction form
    701,188.72/967,838.52 = 414,808.24/x
  3. Step 3: Cross multiply
    701,188.72x = 967,838.52 × 414,808.24
  4. Step 4: Simplify right side
    701,188.72x = 401,467,393,085.41
  5. Step 5: Solve for x
    x = 401,467,393,085.41/701,188.72
  6. Step 6: Final answer
    x = 572,552.55

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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.