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Finding the Fourth Proportional to 389,334.92, 584,062.86 and 164,695.88

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Solution

The fourth proportional to 389,334.92, 584,062.86 and 164,695.88 is: 247,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,334.92 : 584,062.86 = 164,695.88 : x
  2. Step 2: Convert to fraction form
    389,334.92/584,062.86 = 164,695.88/x
  3. Step 3: Cross multiply
    389,334.92x = 584,062.86 × 164,695.88
  4. Step 4: Simplify right side
    389,334.92x = 96,192,746,703.02
  5. Step 5: Solve for x
    x = 96,192,746,703.02/389,334.92
  6. Step 6: Final answer
    x = 247,069.40

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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.