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Finding the Fourth Proportional to 469,015.24, 703,513.14 and 114,031.12

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Solution

The fourth proportional to 469,015.24, 703,513.14 and 114,031.12 is: 171,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,015.24 : 703,513.14 = 114,031.12 : x
  2. Step 2: Convert to fraction form
    469,015.24/703,513.14 = 114,031.12/x
  3. Step 3: Cross multiply
    469,015.24x = 703,513.14 × 114,031.12
  4. Step 4: Simplify right side
    469,015.24x = 80,222,391,288.92
  5. Step 5: Solve for x
    x = 80,222,391,288.92/469,015.24
  6. Step 6: Final answer
    x = 171,044.32

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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.