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Finding the Fourth Proportional to 469,393.80, 703,809.52 and 149,407.44

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Solution

The fourth proportional to 469,393.80, 703,809.52 and 149,407.44 is: 224,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,393.80 : 703,809.52 = 149,407.44 : x
  2. Step 2: Convert to fraction form
    469,393.80/703,809.52 = 149,407.44/x
  3. Step 3: Cross multiply
    469,393.80x = 703,809.52 × 149,407.44
  4. Step 4: Simplify right side
    469,393.80x = 105,154,378,630.83
  5. Step 5: Solve for x
    x = 105,154,378,630.83/469,393.80
  6. Step 6: Final answer
    x = 224,021.66

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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.