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Finding the Fourth Proportional to 511,677.76, 705,269.28 and 341,849.92

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Solution

The fourth proportional to 511,677.76, 705,269.28 and 341,849.92 is: 471,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,677.76 : 705,269.28 = 341,849.92 : x
  2. Step 2: Convert to fraction form
    511,677.76/705,269.28 = 341,849.92/x
  3. Step 3: Cross multiply
    511,677.76x = 705,269.28 × 341,849.92
  4. Step 4: Simplify right side
    511,677.76x = 241,096,246,946.46
  5. Step 5: Solve for x
    x = 241,096,246,946.46/511,677.76
  6. Step 6: Final answer
    x = 471,187.66

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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.