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Finding the Fourth Proportional to 540,803.43, 746,305.38 and 299,081.61

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Solution

The fourth proportional to 540,803.43, 746,305.38 and 299,081.61 is: 412,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,803.43 : 746,305.38 = 299,081.61 : x
  2. Step 2: Convert to fraction form
    540,803.43/746,305.38 = 299,081.61/x
  3. Step 3: Cross multiply
    540,803.43x = 746,305.38 × 299,081.61
  4. Step 4: Simplify right side
    540,803.43x = 223,206,214,602.06
  5. Step 5: Solve for x
    x = 223,206,214,602.06/540,803.43
  6. Step 6: Final answer
    x = 412,730.77

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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.