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Finding the Fourth Proportional to 416,974.08, 626,153.02 and 260,198.96

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Solution

The fourth proportional to 416,974.08, 626,153.02 and 260,198.96 is: 390,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,974.08 : 626,153.02 = 260,198.96 : x
  2. Step 2: Convert to fraction form
    416,974.08/626,153.02 = 260,198.96/x
  3. Step 3: Cross multiply
    416,974.08x = 626,153.02 × 260,198.96
  4. Step 4: Simplify right side
    416,974.08x = 162,924,364,604.86
  5. Step 5: Solve for x
    x = 162,924,364,604.86/416,974.08
  6. Step 6: Final answer
    x = 390,730.20

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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.