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Finding the Fourth Proportional to 469,013.24, 703,510.14 and 114,029.12

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Solution

The fourth proportional to 469,013.24, 703,510.14 and 114,029.12 is: 171,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,013.24 : 703,510.14 = 114,029.12 : x
  2. Step 2: Convert to fraction form
    469,013.24/703,510.14 = 114,029.12/x
  3. Step 3: Cross multiply
    469,013.24x = 703,510.14 × 114,029.12
  4. Step 4: Simplify right side
    469,013.24x = 80,220,642,175.28
  5. Step 5: Solve for x
    x = 80,220,642,175.28/469,013.24
  6. Step 6: Final answer
    x = 171,041.32

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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.