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Finding the Fourth Proportional to 363,202.08, 500,935.20 and 309,664.32

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Solution

The fourth proportional to 363,202.08, 500,935.20 and 309,664.32 is: 427,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,202.08 : 500,935.20 = 309,664.32 : x
  2. Step 2: Convert to fraction form
    363,202.08/500,935.20 = 309,664.32/x
  3. Step 3: Cross multiply
    363,202.08x = 500,935.20 × 309,664.32
  4. Step 4: Simplify right side
    363,202.08x = 155,121,758,072.06
  5. Step 5: Solve for x
    x = 155,121,758,072.06/363,202.08
  6. Step 6: Final answer
    x = 427,094.91

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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.