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Finding the Fourth Proportional to 485,088.48, 727,733.52 and 204,608.16

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Solution

The fourth proportional to 485,088.48, 727,733.52 and 204,608.16 is: 306,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,088.48 : 727,733.52 = 204,608.16 : x
  2. Step 2: Convert to fraction form
    485,088.48/727,733.52 = 204,608.16/x
  3. Step 3: Cross multiply
    485,088.48x = 727,733.52 × 204,608.16
  4. Step 4: Simplify right side
    485,088.48x = 148,900,216,497.52
  5. Step 5: Solve for x
    x = 148,900,216,497.52/485,088.48
  6. Step 6: Final answer
    x = 306,954.76

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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.