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Finding the Fourth Proportional to 464,654.46, 641,419.65 and 313,955.58

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Solution

The fourth proportional to 464,654.46, 641,419.65 and 313,955.58 is: 433,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,654.46 : 641,419.65 = 313,955.58 : x
  2. Step 2: Convert to fraction form
    464,654.46/641,419.65 = 313,955.58/x
  3. Step 3: Cross multiply
    464,654.46x = 641,419.65 × 313,955.58
  4. Step 4: Simplify right side
    464,654.46x = 201,377,278,239.15
  5. Step 5: Solve for x
    x = 201,377,278,239.15/464,654.46
  6. Step 6: Final answer
    x = 433,391.47

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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.