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Finding the Fourth Proportional to 975,815.20, 1,461,649.20 and 809,927.20

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Solution

The fourth proportional to 975,815.20, 1,461,649.20 and 809,927.20 is: 1,213,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,815.20 : 1,461,649.20 = 809,927.20 : x
  2. Step 2: Convert to fraction form
    975,815.20/1,461,649.20 = 809,927.20/x
  3. Step 3: Cross multiply
    975,815.20x = 1,461,649.20 × 809,927.20
  4. Step 4: Simplify right side
    975,815.20x = 1,183,829,443,938.24
  5. Step 5: Solve for x
    x = 1,183,829,443,938.24/975,815.20
  6. Step 6: Final answer
    x = 1,213,169.71

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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.