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Finding the Fourth Proportional to 476,116.11, 714,453.48 and 176,804.51

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Solution

The fourth proportional to 476,116.11, 714,453.48 and 176,804.51 is: 265,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,116.11 : 714,453.48 = 176,804.51 : x
  2. Step 2: Convert to fraction form
    476,116.11/714,453.48 = 176,804.51/x
  3. Step 3: Cross multiply
    476,116.11x = 714,453.48 × 176,804.51
  4. Step 4: Simplify right side
    476,116.11x = 126,318,593,876.93
  5. Step 5: Solve for x
    x = 126,318,593,876.93/476,116.11
  6. Step 6: Final answer
    x = 265,310.48

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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.