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Finding the Fourth Proportional to 476,378.04, 714,644.82 and 176,859.48

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Solution

The fourth proportional to 476,378.04, 714,644.82 and 176,859.48 is: 265,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,378.04 : 714,644.82 = 176,859.48 : x
  2. Step 2: Convert to fraction form
    476,378.04/714,644.82 = 176,859.48/x
  3. Step 3: Cross multiply
    476,378.04x = 714,644.82 × 176,859.48
  4. Step 4: Simplify right side
    476,378.04x = 126,391,711,249.89
  5. Step 5: Solve for x
    x = 126,391,711,249.89/476,378.04
  6. Step 6: Final answer
    x = 265,318.09

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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.