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Finding the Fourth Proportional to 464,556, 641,052.72 and 263,347.68

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Solution

The fourth proportional to 464,556, 641,052.72 and 263,347.68 is: 363,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,556 : 641,052.72 = 263,347.68 : x
  2. Step 2: Convert to fraction form
    464,556/641,052.72 = 263,347.68/x
  3. Step 3: Cross multiply
    464,556x = 641,052.72 × 263,347.68
  4. Step 4: Simplify right side
    464,556x = 168,819,746,569.69
  5. Step 5: Solve for x
    x = 168,819,746,569.69/464,556
  6. Step 6: Final answer
    x = 363,400.21

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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.