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Finding the Fourth Proportional to 301,716.43, 452,761.52 and 175,416.10

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Solution

The fourth proportional to 301,716.43, 452,761.52 and 175,416.10 is: 263,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.43 : 452,761.52 = 175,416.10 : x
  2. Step 2: Convert to fraction form
    301,716.43/452,761.52 = 175,416.10/x
  3. Step 3: Cross multiply
    301,716.43x = 452,761.52 × 175,416.10
  4. Step 4: Simplify right side
    301,716.43x = 79,421,658,059.49
  5. Step 5: Solve for x
    x = 79,421,658,059.49/301,716.43
  6. Step 6: Final answer
    x = 263,232.79

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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.