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Finding the Fourth Proportional to 986,193.84, 1,478,406.24 and 354,666

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Solution

The fourth proportional to 986,193.84, 1,478,406.24 and 354,666 is: 531,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,193.84 : 1,478,406.24 = 354,666 : x
  2. Step 2: Convert to fraction form
    986,193.84/1,478,406.24 = 354,666/x
  3. Step 3: Cross multiply
    986,193.84x = 1,478,406.24 × 354,666
  4. Step 4: Simplify right side
    986,193.84x = 524,340,427,515.84
  5. Step 5: Solve for x
    x = 524,340,427,515.84/986,193.84
  6. Step 6: Final answer
    x = 531,680.90

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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.