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Finding the Fourth Proportional to 469,221.98, 703,844.50 and 153,666.14

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Solution

The fourth proportional to 469,221.98, 703,844.50 and 153,666.14 is: 230,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,221.98 : 703,844.50 = 153,666.14 : x
  2. Step 2: Convert to fraction form
    469,221.98/703,844.50 = 153,666.14/x
  3. Step 3: Cross multiply
    469,221.98x = 703,844.50 × 153,666.14
  4. Step 4: Simplify right side
    469,221.98x = 108,157,067,475.23
  5. Step 5: Solve for x
    x = 108,157,067,475.23/469,221.98
  6. Step 6: Final answer
    x = 230,502.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.