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Finding the Fourth Proportional to 301,859, 452,804 and 77,221.38

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Solution

The fourth proportional to 301,859, 452,804 and 77,221.38 is: 115,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,859 : 452,804 = 77,221.38 : x
  2. Step 2: Convert to fraction form
    301,859/452,804 = 77,221.38/x
  3. Step 3: Cross multiply
    301,859x = 452,804 × 77,221.38
  4. Step 4: Simplify right side
    301,859x = 34,966,149,749.52
  5. Step 5: Solve for x
    x = 34,966,149,749.52/301,859
  6. Step 6: Final answer
    x = 115,836.04

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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.