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Finding the Fourth Proportional to 480,843.81, 721,055.32 and 228,196.71

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Solution

The fourth proportional to 480,843.81, 721,055.32 and 228,196.71 is: 342,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,843.81 : 721,055.32 = 228,196.71 : x
  2. Step 2: Convert to fraction form
    480,843.81/721,055.32 = 228,196.71/x
  3. Step 3: Cross multiply
    480,843.81x = 721,055.32 × 228,196.71
  4. Step 4: Simplify right side
    480,843.81x = 164,542,451,181.51
  5. Step 5: Solve for x
    x = 164,542,451,181.51/480,843.81
  6. Step 6: Final answer
    x = 342,195.22

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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.