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Finding the Fourth Proportional to 468,031.26, 701,482.92 and 214,962.60

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Solution

The fourth proportional to 468,031.26, 701,482.92 and 214,962.60 is: 322,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,031.26 : 701,482.92 = 214,962.60 : x
  2. Step 2: Convert to fraction form
    468,031.26/701,482.92 = 214,962.60/x
  3. Step 3: Cross multiply
    468,031.26x = 701,482.92 × 214,962.60
  4. Step 4: Simplify right side
    468,031.26x = 150,792,592,338.79
  5. Step 5: Solve for x
    x = 150,792,592,338.79/468,031.26
  6. Step 6: Final answer
    x = 322,184.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.