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Finding the Fourth Proportional to 523,894.92, 785,847.24 and 208,432.32

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Solution

The fourth proportional to 523,894.92, 785,847.24 and 208,432.32 is: 312,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,894.92 : 785,847.24 = 208,432.32 : x
  2. Step 2: Convert to fraction form
    523,894.92/785,847.24 = 208,432.32/x
  3. Step 3: Cross multiply
    523,894.92x = 785,847.24 × 208,432.32
  4. Step 4: Simplify right side
    523,894.92x = 163,795,963,398.80
  5. Step 5: Solve for x
    x = 163,795,963,398.80/523,894.92
  6. Step 6: Final answer
    x = 312,650.41

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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.