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Finding the Fourth Proportional to 653,384.25, 980,113.32 and 232,660.17

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Solution

The fourth proportional to 653,384.25, 980,113.32 and 232,660.17 is: 349,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,384.25 : 980,113.32 = 232,660.17 : x
  2. Step 2: Convert to fraction form
    653,384.25/980,113.32 = 232,660.17/x
  3. Step 3: Cross multiply
    653,384.25x = 980,113.32 × 232,660.17
  4. Step 4: Simplify right side
    653,384.25x = 228,033,331,650.46
  5. Step 5: Solve for x
    x = 228,033,331,650.46/653,384.25
  6. Step 6: Final answer
    x = 349,003.41

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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.