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Finding the Fourth Proportional to 469,149.02, 703,179.16 and 215,897.84

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Solution

The fourth proportional to 469,149.02, 703,179.16 and 215,897.84 is: 323,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,149.02 : 703,179.16 = 215,897.84 : x
  2. Step 2: Convert to fraction form
    469,149.02/703,179.16 = 215,897.84/x
  3. Step 3: Cross multiply
    469,149.02x = 703,179.16 × 215,897.84
  4. Step 4: Simplify right side
    469,149.02x = 151,814,861,777.01
  5. Step 5: Solve for x
    x = 151,814,861,777.01/469,149.02
  6. Step 6: Final answer
    x = 323,596.25

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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.