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Finding the Fourth Proportional to 532,727.12, 735,185.78 and 306,372.80

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Solution

The fourth proportional to 532,727.12, 735,185.78 and 306,372.80 is: 422,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,727.12 : 735,185.78 = 306,372.80 : x
  2. Step 2: Convert to fraction form
    532,727.12/735,185.78 = 306,372.80/x
  3. Step 3: Cross multiply
    532,727.12x = 735,185.78 × 306,372.80
  4. Step 4: Simplify right side
    532,727.12x = 225,240,920,730.99
  5. Step 5: Solve for x
    x = 225,240,920,730.99/532,727.12
  6. Step 6: Final answer
    x = 422,807.31

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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.