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Finding the Fourth Proportional to 464,337.17, 696,390.40 and 262,022.09

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Solution

The fourth proportional to 464,337.17, 696,390.40 and 262,022.09 is: 392,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,337.17 : 696,390.40 = 262,022.09 : x
  2. Step 2: Convert to fraction form
    464,337.17/696,390.40 = 262,022.09/x
  3. Step 3: Cross multiply
    464,337.17x = 696,390.40 × 262,022.09
  4. Step 4: Simplify right side
    464,337.17x = 182,469,663,271.87
  5. Step 5: Solve for x
    x = 182,469,663,271.87/464,337.17
  6. Step 6: Final answer
    x = 392,968.03

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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.