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Finding the Fourth Proportional to 511,233.40, 705,498.58 and 281,790.88

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Solution

The fourth proportional to 511,233.40, 705,498.58 and 281,790.88 is: 388,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,233.40 : 705,498.58 = 281,790.88 : x
  2. Step 2: Convert to fraction form
    511,233.40/705,498.58 = 281,790.88/x
  3. Step 3: Cross multiply
    511,233.40x = 705,498.58 × 281,790.88
  4. Step 4: Simplify right side
    511,233.40x = 198,803,065,696.95
  5. Step 5: Solve for x
    x = 198,803,065,696.95/511,233.40
  6. Step 6: Final answer
    x = 388,869.48

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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.