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Finding the Fourth Proportional to 614,592.82, 921,889.30 and 193,901.50

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Solution

The fourth proportional to 614,592.82, 921,889.30 and 193,901.50 is: 290,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,592.82 : 921,889.30 = 193,901.50 : x
  2. Step 2: Convert to fraction form
    614,592.82/921,889.30 = 193,901.50/x
  3. Step 3: Cross multiply
    614,592.82x = 921,889.30 × 193,901.50
  4. Step 4: Simplify right side
    614,592.82x = 178,755,718,103.95
  5. Step 5: Solve for x
    x = 178,755,718,103.95/614,592.82
  6. Step 6: Final answer
    x = 290,852.27

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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.