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Finding the Fourth Proportional to 649,974.01, 897,189.57 and 446,697.83

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Solution

The fourth proportional to 649,974.01, 897,189.57 and 446,697.83 is: 616,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,974.01 : 897,189.57 = 446,697.83 : x
  2. Step 2: Convert to fraction form
    649,974.01/897,189.57 = 446,697.83/x
  3. Step 3: Cross multiply
    649,974.01x = 897,189.57 × 446,697.83
  4. Step 4: Simplify right side
    649,974.01x = 400,772,634,017.63
  5. Step 5: Solve for x
    x = 400,772,634,017.63/649,974.01
  6. Step 6: Final answer
    x = 616,597.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.