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Finding the Fourth Proportional to 464,458.60, 641,002.98 and 263,233

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Solution

The fourth proportional to 464,458.60, 641,002.98 and 263,233 is: 363,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,458.60 : 641,002.98 = 263,233 : x
  2. Step 2: Convert to fraction form
    464,458.60/641,002.98 = 263,233/x
  3. Step 3: Cross multiply
    464,458.60x = 641,002.98 × 263,233
  4. Step 4: Simplify right side
    464,458.60x = 168,733,137,434.34
  5. Step 5: Solve for x
    x = 168,733,137,434.34/464,458.60
  6. Step 6: Final answer
    x = 363,289.94

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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.