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Finding the Fourth Proportional to 701,200.90, 967,725.30 and 414,813.16

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Solution

The fourth proportional to 701,200.90, 967,725.30 and 414,813.16 is: 572,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,200.90 : 967,725.30 = 414,813.16 : x
  2. Step 2: Convert to fraction form
    701,200.90/967,725.30 = 414,813.16/x
  3. Step 3: Cross multiply
    701,200.90x = 967,725.30 × 414,813.16
  4. Step 4: Simplify right side
    701,200.90x = 401,425,189,704.95
  5. Step 5: Solve for x
    x = 401,425,189,704.95/701,200.90
  6. Step 6: Final answer
    x = 572,482.42

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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.