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Finding the Fourth Proportional to 522,262.92, 783,744.30 and 335,405.64

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Solution

The fourth proportional to 522,262.92, 783,744.30 and 335,405.64 is: 503,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,262.92 : 783,744.30 = 335,405.64 : x
  2. Step 2: Convert to fraction form
    522,262.92/783,744.30 = 335,405.64/x
  3. Step 3: Cross multiply
    522,262.92x = 783,744.30 × 335,405.64
  4. Step 4: Simplify right side
    522,262.92x = 262,872,258,537.85
  5. Step 5: Solve for x
    x = 262,872,258,537.85/522,262.92
  6. Step 6: Final answer
    x = 503,333.18

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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.