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Finding the Fourth Proportional to 675,296.16, 1,012,570.32 and 276,217.20

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Solution

The fourth proportional to 675,296.16, 1,012,570.32 and 276,217.20 is: 414,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,296.16 : 1,012,570.32 = 276,217.20 : x
  2. Step 2: Convert to fraction form
    675,296.16/1,012,570.32 = 276,217.20/x
  3. Step 3: Cross multiply
    675,296.16x = 1,012,570.32 × 276,217.20
  4. Step 4: Simplify right side
    675,296.16x = 279,689,338,593.50
  5. Step 5: Solve for x
    x = 279,689,338,593.50/675,296.16
  6. Step 6: Final answer
    x = 414,172.86

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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.