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Finding the Fourth Proportional to 489,366, 734,244.96 and 223,251.84

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Solution

The fourth proportional to 489,366, 734,244.96 and 223,251.84 is: 334,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,366 : 734,244.96 = 223,251.84 : x
  2. Step 2: Convert to fraction form
    489,366/734,244.96 = 223,251.84/x
  3. Step 3: Cross multiply
    489,366x = 734,244.96 × 223,251.84
  4. Step 4: Simplify right side
    489,366x = 163,921,538,330.73
  5. Step 5: Solve for x
    x = 163,921,538,330.73/489,366
  6. Step 6: Final answer
    x = 334,967.16

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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.