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Finding the Fourth Proportional to 475,780.98, 713,751.46 and 235,906.72

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Solution

The fourth proportional to 475,780.98, 713,751.46 and 235,906.72 is: 353,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,780.98 : 713,751.46 = 235,906.72 : x
  2. Step 2: Convert to fraction form
    475,780.98/713,751.46 = 235,906.72/x
  3. Step 3: Cross multiply
    475,780.98x = 713,751.46 × 235,906.72
  4. Step 4: Simplify right side
    475,780.98x = 168,378,765,823.81
  5. Step 5: Solve for x
    x = 168,378,765,823.81/475,780.98
  6. Step 6: Final answer
    x = 353,899.74

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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.