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Finding the Fourth Proportional to 738,897.32, 1,019,657.41 and 412,219.97

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Solution

The fourth proportional to 738,897.32, 1,019,657.41 and 412,219.97 is: 568,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,897.32 : 1,019,657.41 = 412,219.97 : x
  2. Step 2: Convert to fraction form
    738,897.32/1,019,657.41 = 412,219.97/x
  3. Step 3: Cross multiply
    738,897.32x = 1,019,657.41 × 412,219.97
  4. Step 4: Simplify right side
    738,897.32x = 420,323,146,974.09
  5. Step 5: Solve for x
    x = 420,323,146,974.09/738,897.32
  6. Step 6: Final answer
    x = 568,851.90

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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.