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Finding the Fourth Proportional to 463,363.83, 695,102.99 and 163,782.63

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Solution

The fourth proportional to 463,363.83, 695,102.99 and 163,782.63 is: 245,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,363.83 : 695,102.99 = 163,782.63 : x
  2. Step 2: Convert to fraction form
    463,363.83/695,102.99 = 163,782.63/x
  3. Step 3: Cross multiply
    463,363.83x = 695,102.99 × 163,782.63
  4. Step 4: Simplify right side
    463,363.83x = 113,845,796,232.52
  5. Step 5: Solve for x
    x = 113,845,796,232.52/463,363.83
  6. Step 6: Final answer
    x = 245,694.18

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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.