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Finding the Fourth Proportional to 301,723, 452,584.48 and 77,083.92

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Solution

The fourth proportional to 301,723, 452,584.48 and 77,083.92 is: 115,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,723 : 452,584.48 = 77,083.92 : x
  2. Step 2: Convert to fraction form
    301,723/452,584.48 = 77,083.92/x
  3. Step 3: Cross multiply
    301,723x = 452,584.48 × 77,083.92
  4. Step 4: Simplify right side
    301,723x = 34,886,985,849.56
  5. Step 5: Solve for x
    x = 34,886,985,849.56/301,723
  6. Step 6: Final answer
    x = 115,625.87

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1.5x scale

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.