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Finding the Fourth Proportional to 298,411.43, 447,621.80 and 166,132.42

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Solution

The fourth proportional to 298,411.43, 447,621.80 and 166,132.42 is: 249,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411.43 : 447,621.80 = 166,132.42 : x
  2. Step 2: Convert to fraction form
    298,411.43/447,621.80 = 166,132.42/x
  3. Step 3: Cross multiply
    298,411.43x = 447,621.80 × 166,132.42
  4. Step 4: Simplify right side
    298,411.43x = 74,364,490,929.04
  5. Step 5: Solve for x
    x = 74,364,490,929.04/298,411.43
  6. Step 6: Final answer
    x = 249,201.22

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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.