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Finding the Fourth Proportional to 476,108.11, 714,441.46 and 176,796.51

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Solution

The fourth proportional to 476,108.11, 714,441.46 and 176,796.51 is: 265,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,108.11 : 714,441.46 = 176,796.51 : x
  2. Step 2: Convert to fraction form
    476,108.11/714,441.46 = 176,796.51/x
  3. Step 3: Cross multiply
    476,108.11x = 714,441.46 × 176,796.51
  4. Step 4: Simplify right side
    476,108.11x = 126,310,756,727.31
  5. Step 5: Solve for x
    x = 126,310,756,727.31/476,108.11
  6. Step 6: Final answer
    x = 265,298.48

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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.