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Finding the Fourth Proportional to 463,632.80, 695,276.40 and 163,997.60

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Solution

The fourth proportional to 463,632.80, 695,276.40 and 163,997.60 is: 245,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,632.80 : 695,276.40 = 163,997.60 : x
  2. Step 2: Convert to fraction form
    463,632.80/695,276.40 = 163,997.60/x
  3. Step 3: Cross multiply
    463,632.80x = 695,276.40 × 163,997.60
  4. Step 4: Simplify right side
    463,632.80x = 114,023,660,936.64
  5. Step 5: Solve for x
    x = 114,023,660,936.64/463,632.80
  6. Step 6: Final answer
    x = 245,935.28

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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.