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Finding the Fourth Proportional to 475,868, 713,768.60 and 223,203.90

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Solution

The fourth proportional to 475,868, 713,768.60 and 223,203.90 is: 334,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,868 : 713,768.60 = 223,203.90 : x
  2. Step 2: Convert to fraction form
    475,868/713,768.60 = 223,203.90/x
  3. Step 3: Cross multiply
    475,868x = 713,768.60 × 223,203.90
  4. Step 4: Simplify right side
    475,868x = 159,315,935,217.54
  5. Step 5: Solve for x
    x = 159,315,935,217.54/475,868
  6. Step 6: Final answer
    x = 334,790.18

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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.