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Finding the Fourth Proportional to 511,334.45, 705,646.19 and 281,900.04

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Solution

The fourth proportional to 511,334.45, 705,646.19 and 281,900.04 is: 389,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,334.45 : 705,646.19 = 281,900.04 : x
  2. Step 2: Convert to fraction form
    511,334.45/705,646.19 = 281,900.04/x
  3. Step 3: Cross multiply
    511,334.45x = 705,646.19 × 281,900.04
  4. Step 4: Simplify right side
    511,334.45x = 198,921,689,186.85
  5. Step 5: Solve for x
    x = 198,921,689,186.85/511,334.45
  6. Step 6: Final answer
    x = 389,024.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.