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Finding the Fourth Proportional to 476,115.96, 713,675.74 and 160,463.88

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Solution

The fourth proportional to 476,115.96, 713,675.74 and 160,463.88 is: 240,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,115.96 : 713,675.74 = 160,463.88 : x
  2. Step 2: Convert to fraction form
    476,115.96/713,675.74 = 160,463.88/x
  3. Step 3: Cross multiply
    476,115.96x = 713,675.74 × 160,463.88
  4. Step 4: Simplify right side
    476,115.96x = 114,519,178,302.27
  5. Step 5: Solve for x
    x = 114,519,178,302.27/476,115.96
  6. Step 6: Final answer
    x = 240,527.91

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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.