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Finding the Fourth Proportional to 469,016.88, 703,526.13 and 114,031.14

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Solution

The fourth proportional to 469,016.88, 703,526.13 and 114,031.14 is: 171,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,016.88 : 703,526.13 = 114,031.14 : x
  2. Step 2: Convert to fraction form
    469,016.88/703,526.13 = 114,031.14/x
  3. Step 3: Cross multiply
    469,016.88x = 703,526.13 × 114,031.14
  4. Step 4: Simplify right side
    469,016.88x = 80,223,886,623.69
  5. Step 5: Solve for x
    x = 80,223,886,623.69/469,016.88
  6. Step 6: Final answer
    x = 171,046.91

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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.