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Finding the Fourth Proportional to 866,493.12, 1,299,762 and 410,977.92

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Solution

The fourth proportional to 866,493.12, 1,299,762 and 410,977.92 is: 616,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,493.12 : 1,299,762 = 410,977.92 : x
  2. Step 2: Convert to fraction form
    866,493.12/1,299,762 = 410,977.92/x
  3. Step 3: Cross multiply
    866,493.12x = 1,299,762 × 410,977.92
  4. Step 4: Simplify right side
    866,493.12x = 534,173,483,255.04
  5. Step 5: Solve for x
    x = 534,173,483,255.04/866,493.12
  6. Step 6: Final answer
    x = 616,477.47

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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.