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Finding the Fourth Proportional to 416,972.05, 626,149.83 and 260,196.96

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Solution

The fourth proportional to 416,972.05, 626,149.83 and 260,196.96 is: 390,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,972.05 : 626,149.83 = 260,196.96 : x
  2. Step 2: Convert to fraction form
    416,972.05/626,149.83 = 260,196.96/x
  3. Step 3: Cross multiply
    416,972.05x = 626,149.83 × 260,196.96
  4. Step 4: Simplify right side
    416,972.05x = 162,922,282,270.52
  5. Step 5: Solve for x
    x = 162,922,282,270.52/416,972.05
  6. Step 6: Final answer
    x = 390,727.11

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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.