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Finding the Fourth Proportional to 336,435.01, 464,316.32 and 205,689.38

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Solution

The fourth proportional to 336,435.01, 464,316.32 and 205,689.38 is: 283,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,435.01 : 464,316.32 = 205,689.38 : x
  2. Step 2: Convert to fraction form
    336,435.01/464,316.32 = 205,689.38/x
  3. Step 3: Cross multiply
    336,435.01x = 464,316.32 × 205,689.38
  4. Step 4: Simplify right side
    336,435.01x = 95,504,937,659.70
  5. Step 5: Solve for x
    x = 95,504,937,659.70/336,435.01
  6. Step 6: Final answer
    x = 283,873.36

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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.