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Finding the Fourth Proportional to 476,388.96, 714,039.78 and 191,897.24

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Solution

The fourth proportional to 476,388.96, 714,039.78 and 191,897.24 is: 287,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,388.96 : 714,039.78 = 191,897.24 : x
  2. Step 2: Convert to fraction form
    476,388.96/714,039.78 = 191,897.24/x
  3. Step 3: Cross multiply
    476,388.96x = 714,039.78 × 191,897.24
  4. Step 4: Simplify right side
    476,388.96x = 137,022,263,032.21
  5. Step 5: Solve for x
    x = 137,022,263,032.21/476,388.96
  6. Step 6: Final answer
    x = 287,626.86

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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.