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Finding the Fourth Proportional to 464,429.48, 696,841.47 and 253,821.38

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Solution

The fourth proportional to 464,429.48, 696,841.47 and 253,821.38 is: 380,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,429.48 : 696,841.47 = 253,821.38 : x
  2. Step 2: Convert to fraction form
    464,429.48/696,841.47 = 253,821.38/x
  3. Step 3: Cross multiply
    464,429.48x = 696,841.47 × 253,821.38
  4. Step 4: Simplify right side
    464,429.48x = 176,873,263,556.63
  5. Step 5: Solve for x
    x = 176,873,263,556.63/464,429.48
  6. Step 6: Final answer
    x = 380,839.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.