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Finding the Fourth Proportional to 545,097, 752,245.38 and 306,633

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Solution

The fourth proportional to 545,097, 752,245.38 and 306,633 is: 423,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,097 : 752,245.38 = 306,633 : x
  2. Step 2: Convert to fraction form
    545,097/752,245.38 = 306,633/x
  3. Step 3: Cross multiply
    545,097x = 752,245.38 × 306,633
  4. Step 4: Simplify right side
    545,097x = 230,663,257,605.54
  5. Step 5: Solve for x
    x = 230,663,257,605.54/545,097
  6. Step 6: Final answer
    x = 423,160.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.