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Finding the Fourth Proportional to 613,178.91, 919,730.43 and 228,852.95

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Solution

The fourth proportional to 613,178.91, 919,730.43 and 228,852.95 is: 343,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,178.91 : 919,730.43 = 228,852.95 : x
  2. Step 2: Convert to fraction form
    613,178.91/919,730.43 = 228,852.95/x
  3. Step 3: Cross multiply
    613,178.91x = 919,730.43 × 228,852.95
  4. Step 4: Simplify right side
    613,178.91x = 210,483,017,511.62
  5. Step 5: Solve for x
    x = 210,483,017,511.62/613,178.91
  6. Step 6: Final answer
    x = 343,265.26

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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.