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Finding the Fourth Proportional to 469,392.78, 703,808.04 and 149,406.42

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Solution

The fourth proportional to 469,392.78, 703,808.04 and 149,406.42 is: 224,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,392.78 : 703,808.04 = 149,406.42 : x
  2. Step 2: Convert to fraction form
    469,392.78/703,808.04 = 149,406.42/x
  3. Step 3: Cross multiply
    469,392.78x = 703,808.04 × 149,406.42
  4. Step 4: Simplify right side
    469,392.78x = 105,153,439,623.62
  5. Step 5: Solve for x
    x = 105,153,439,623.62/469,392.78
  6. Step 6: Final answer
    x = 224,020.15

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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.