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Finding the Fourth Proportional to 467,706.80, 701,664 and 218,252.72

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Solution

The fourth proportional to 467,706.80, 701,664 and 218,252.72 is: 327,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,706.80 : 701,664 = 218,252.72 : x
  2. Step 2: Convert to fraction form
    467,706.80/701,664 = 218,252.72/x
  3. Step 3: Cross multiply
    467,706.80x = 701,664 × 218,252.72
  4. Step 4: Simplify right side
    467,706.80x = 153,140,076,526.08
  5. Step 5: Solve for x
    x = 153,140,076,526.08/467,706.80
  6. Step 6: Final answer
    x = 327,427.52

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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.