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Finding the Fourth Proportional to 614,614.77, 922,057.56 and 188,153.82

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Solution

The fourth proportional to 614,614.77, 922,057.56 and 188,153.82 is: 282,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,614.77 : 922,057.56 = 188,153.82 : x
  2. Step 2: Convert to fraction form
    614,614.77/922,057.56 = 188,153.82/x
  3. Step 3: Cross multiply
    614,614.77x = 922,057.56 × 188,153.82
  4. Step 4: Simplify right side
    614,614.77x = 173,488,652,173.88
  5. Step 5: Solve for x
    x = 173,488,652,173.88/614,614.77
  6. Step 6: Final answer
    x = 282,272.18

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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.