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Finding the Fourth Proportional to 522,223.92, 783,686.16 and 335,366.64

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Solution

The fourth proportional to 522,223.92, 783,686.16 and 335,366.64 is: 503,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,223.92 : 783,686.16 = 335,366.64 : x
  2. Step 2: Convert to fraction form
    522,223.92/783,686.16 = 335,366.64/x
  3. Step 3: Cross multiply
    522,223.92x = 783,686.16 × 335,366.64
  4. Step 4: Simplify right side
    522,223.92x = 262,822,194,293.70
  5. Step 5: Solve for x
    x = 262,822,194,293.70/522,223.92
  6. Step 6: Final answer
    x = 503,274.91

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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.