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Finding the Fourth Proportional to 473,674.56, 653,651.46 and 258,822

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Solution

The fourth proportional to 473,674.56, 653,651.46 and 258,822 is: 357,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,674.56 : 653,651.46 = 258,822 : x
  2. Step 2: Convert to fraction form
    473,674.56/653,651.46 = 258,822/x
  3. Step 3: Cross multiply
    473,674.56x = 653,651.46 × 258,822
  4. Step 4: Simplify right side
    473,674.56x = 169,179,378,180.12
  5. Step 5: Solve for x
    x = 169,179,378,180.12/473,674.56
  6. Step 6: Final answer
    x = 357,163.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.