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Finding the Fourth Proportional to 701,209.96, 967,737.78 and 414,822.16

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Solution

The fourth proportional to 701,209.96, 967,737.78 and 414,822.16 is: 572,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,209.96 : 967,737.78 = 414,822.16 : x
  2. Step 2: Convert to fraction form
    701,209.96/967,737.78 = 414,822.16/x
  3. Step 3: Cross multiply
    701,209.96x = 967,737.78 × 414,822.16
  4. Step 4: Simplify right side
    701,209.96x = 401,439,076,213.21
  5. Step 5: Solve for x
    x = 401,439,076,213.21/701,209.96
  6. Step 6: Final answer
    x = 572,494.83

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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.