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Finding the Fourth Proportional to 363,995.80, 545,864.10 and 164,411.80

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Solution

The fourth proportional to 363,995.80, 545,864.10 and 164,411.80 is: 246,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,995.80 : 545,864.10 = 164,411.80 : x
  2. Step 2: Convert to fraction form
    363,995.80/545,864.10 = 164,411.80/x
  3. Step 3: Cross multiply
    363,995.80x = 545,864.10 × 164,411.80
  4. Step 4: Simplify right side
    363,995.80x = 89,746,499,236.38
  5. Step 5: Solve for x
    x = 89,746,499,236.38/363,995.80
  6. Step 6: Final answer
    x = 246,559.16

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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.