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Finding the Fourth Proportional to 564,795, 847,296.90 and 185,736.60

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Solution

The fourth proportional to 564,795, 847,296.90 and 185,736.60 is: 278,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,795 : 847,296.90 = 185,736.60 : x
  2. Step 2: Convert to fraction form
    564,795/847,296.90 = 185,736.60/x
  3. Step 3: Cross multiply
    564,795x = 847,296.90 × 185,736.60
  4. Step 4: Simplify right side
    564,795x = 157,374,045,396.54
  5. Step 5: Solve for x
    x = 157,374,045,396.54/564,795
  6. Step 6: Final answer
    x = 278,639.23

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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.