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Finding the Fourth Proportional to 299,482.34, 447,859.05 and 223,634.14

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Solution

The fourth proportional to 299,482.34, 447,859.05 and 223,634.14 is: 334,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.34 : 447,859.05 = 223,634.14 : x
  2. Step 2: Convert to fraction form
    299,482.34/447,859.05 = 223,634.14/x
  3. Step 3: Cross multiply
    299,482.34x = 447,859.05 × 223,634.14
  4. Step 4: Simplify right side
    299,482.34x = 100,156,573,487.97
  5. Step 5: Solve for x
    x = 100,156,573,487.97/299,482.34
  6. Step 6: Final answer
    x = 334,432.32

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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.