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Finding the Fourth Proportional to 464,835.96, 641,494.62 and 364,059

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Solution

The fourth proportional to 464,835.96, 641,494.62 and 364,059 is: 502,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,835.96 : 641,494.62 = 364,059 : x
  2. Step 2: Convert to fraction form
    464,835.96/641,494.62 = 364,059/x
  3. Step 3: Cross multiply
    464,835.96x = 641,494.62 × 364,059
  4. Step 4: Simplify right side
    464,835.96x = 233,541,889,862.58
  5. Step 5: Solve for x
    x = 233,541,889,862.58/464,835.96
  6. Step 6: Final answer
    x = 502,417.86

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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.