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Finding the Fourth Proportional to 476,364.44, 714,003.06 and 191,872.80

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Solution

The fourth proportional to 476,364.44, 714,003.06 and 191,872.80 is: 287,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,364.44 : 714,003.06 = 191,872.80 : x
  2. Step 2: Convert to fraction form
    476,364.44/714,003.06 = 191,872.80/x
  3. Step 3: Cross multiply
    476,364.44x = 714,003.06 × 191,872.80
  4. Step 4: Simplify right side
    476,364.44x = 136,997,762,760.75
  5. Step 5: Solve for x
    x = 136,997,762,760.75/476,364.44
  6. Step 6: Final answer
    x = 287,590.24

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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.