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Finding the Fourth Proportional to 609,012.84, 913,497.39 and 159,730.14

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Solution

The fourth proportional to 609,012.84, 913,497.39 and 159,730.14 is: 239,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,012.84 : 913,497.39 = 159,730.14 : x
  2. Step 2: Convert to fraction form
    609,012.84/913,497.39 = 159,730.14/x
  3. Step 3: Cross multiply
    609,012.84x = 913,497.39 × 159,730.14
  4. Step 4: Simplify right side
    609,012.84x = 145,913,065,994.34
  5. Step 5: Solve for x
    x = 145,913,065,994.34/609,012.84
  6. Step 6: Final answer
    x = 239,589.47

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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.