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Finding the Fourth Proportional to 463,363.47, 695,102.43 and 163,782.27

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Solution

The fourth proportional to 463,363.47, 695,102.43 and 163,782.27 is: 245,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,363.47 : 695,102.43 = 163,782.27 : x
  2. Step 2: Convert to fraction form
    463,363.47/695,102.43 = 163,782.27/x
  3. Step 3: Cross multiply
    463,363.47x = 695,102.43 × 163,782.27
  4. Step 4: Simplify right side
    463,363.47x = 113,845,453,867.92
  5. Step 5: Solve for x
    x = 113,845,453,867.92/463,363.47
  6. Step 6: Final answer
    x = 245,693.63

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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.