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Finding the Fourth Proportional to 469,335.34, 703,967.64 and 149,474.29

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Solution

The fourth proportional to 469,335.34, 703,967.64 and 149,474.29 is: 224,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,335.34 : 703,967.64 = 149,474.29 : x
  2. Step 2: Convert to fraction form
    469,335.34/703,967.64 = 149,474.29/x
  3. Step 3: Cross multiply
    469,335.34x = 703,967.64 × 149,474.29
  4. Step 4: Simplify right side
    469,335.34x = 105,225,063,171.98
  5. Step 5: Solve for x
    x = 105,225,063,171.98/469,335.34
  6. Step 6: Final answer
    x = 224,200.17

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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.