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Finding the Fourth Proportional to 653,640.30, 980,460.45 and 232,764.30

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Solution

The fourth proportional to 653,640.30, 980,460.45 and 232,764.30 is: 349,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,640.30 : 980,460.45 = 232,764.30 : x
  2. Step 2: Convert to fraction form
    653,640.30/980,460.45 = 232,764.30/x
  3. Step 3: Cross multiply
    653,640.30x = 980,460.45 × 232,764.30
  4. Step 4: Simplify right side
    653,640.30x = 228,216,190,321.94
  5. Step 5: Solve for x
    x = 228,216,190,321.94/653,640.30
  6. Step 6: Final answer
    x = 349,146.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.