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Finding the Fourth Proportional to 469,384.80, 703,796.02 and 149,398.45

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Solution

The fourth proportional to 469,384.80, 703,796.02 and 149,398.45 is: 224,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,384.80 : 703,796.02 = 149,398.45 : x
  2. Step 2: Convert to fraction form
    469,384.80/703,796.02 = 149,398.45/x
  3. Step 3: Cross multiply
    469,384.80x = 703,796.02 × 149,398.45
  4. Step 4: Simplify right side
    469,384.80x = 105,146,034,504.17
  5. Step 5: Solve for x
    x = 105,146,034,504.17/469,384.80
  6. Step 6: Final answer
    x = 224,008.18

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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.