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Finding the Fourth Proportional to 299,411.10, 449,116.65 and 193,122.90

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Solution

The fourth proportional to 299,411.10, 449,116.65 and 193,122.90 is: 289,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,411.10 : 449,116.65 = 193,122.90 : x
  2. Step 2: Convert to fraction form
    299,411.10/449,116.65 = 193,122.90/x
  3. Step 3: Cross multiply
    299,411.10x = 449,116.65 × 193,122.90
  4. Step 4: Simplify right side
    299,411.10x = 86,734,709,886.29
  5. Step 5: Solve for x
    x = 86,734,709,886.29/299,411.10
  6. Step 6: Final answer
    x = 289,684.35

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1.5x scale

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.