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Finding the Fourth Proportional to 476,115.98, 714,176.31 and 160,575.62

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Solution

The fourth proportional to 476,115.98, 714,176.31 and 160,575.62 is: 240,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,115.98 : 714,176.31 = 160,575.62 : x
  2. Step 2: Convert to fraction form
    476,115.98/714,176.31 = 160,575.62/x
  3. Step 3: Cross multiply
    476,115.98x = 714,176.31 × 160,575.62
  4. Step 4: Simplify right side
    476,115.98x = 114,679,303,767.56
  5. Step 5: Solve for x
    x = 114,679,303,767.56/476,115.98
  6. Step 6: Final answer
    x = 240,864.22

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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.