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Finding the Fourth Proportional to 348,204.83, 480,345.81 and 227,416.82

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Solution

The fourth proportional to 348,204.83, 480,345.81 and 227,416.82 is: 313,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,204.83 : 480,345.81 = 227,416.82 : x
  2. Step 2: Convert to fraction form
    348,204.83/480,345.81 = 227,416.82/x
  3. Step 3: Cross multiply
    348,204.83x = 480,345.81 × 227,416.82
  4. Step 4: Simplify right side
    348,204.83x = 109,238,714,208.80
  5. Step 5: Solve for x
    x = 109,238,714,208.80/348,204.83
  6. Step 6: Final answer
    x = 313,719.70

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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.