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Finding the Fourth Proportional to 476,502.33, 714,199.62 and 176,791.74

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Solution

The fourth proportional to 476,502.33, 714,199.62 and 176,791.74 is: 264,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,502.33 : 714,199.62 = 176,791.74 : x
  2. Step 2: Convert to fraction form
    476,502.33/714,199.62 = 176,791.74/x
  3. Step 3: Cross multiply
    476,502.33x = 714,199.62 × 176,791.74
  4. Step 4: Simplify right side
    476,502.33x = 126,264,593,527.14
  5. Step 5: Solve for x
    x = 126,264,593,527.14/476,502.33
  6. Step 6: Final answer
    x = 264,982.11

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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.