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Finding the Fourth Proportional to 614,136.44, 921,204.66 and 239,897

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Solution

The fourth proportional to 614,136.44, 921,204.66 and 239,897 is: 359,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,136.44 : 921,204.66 = 239,897 : x
  2. Step 2: Convert to fraction form
    614,136.44/921,204.66 = 239,897/x
  3. Step 3: Cross multiply
    614,136.44x = 921,204.66 × 239,897
  4. Step 4: Simplify right side
    614,136.44x = 220,994,234,320.02
  5. Step 5: Solve for x
    x = 220,994,234,320.02/614,136.44
  6. Step 6: Final answer
    x = 359,845.50

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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.