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Finding the Fourth Proportional to 301,614, 452,420.66 and 76,974.42

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Solution

The fourth proportional to 301,614, 452,420.66 and 76,974.42 is: 115,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,614 : 452,420.66 = 76,974.42 : x
  2. Step 2: Convert to fraction form
    301,614/452,420.66 = 76,974.42/x
  3. Step 3: Cross multiply
    301,614x = 452,420.66 × 76,974.42
  4. Step 4: Simplify right side
    301,614x = 34,824,817,899.52
  5. Step 5: Solve for x
    x = 34,824,817,899.52/301,614
  6. Step 6: Final answer
    x = 115,461.54

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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.