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Finding the Fourth Proportional to 453,897, 680,784.21 and 187,620.57

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Solution

The fourth proportional to 453,897, 680,784.21 and 187,620.57 is: 281,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,897 : 680,784.21 = 187,620.57 : x
  2. Step 2: Convert to fraction form
    453,897/680,784.21 = 187,620.57/x
  3. Step 3: Cross multiply
    453,897x = 680,784.21 × 187,620.57
  4. Step 4: Simplify right side
    453,897x = 127,729,121,527.20
  5. Step 5: Solve for x
    x = 127,729,121,527.20/453,897
  6. Step 6: Final answer
    x = 281,405.52

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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.