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Finding the Fourth Proportional to 519,180.32, 778,852.82 and 219,663.14

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Solution

The fourth proportional to 519,180.32, 778,852.82 and 219,663.14 is: 329,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,180.32 : 778,852.82 = 219,663.14 : x
  2. Step 2: Convert to fraction form
    519,180.32/778,852.82 = 219,663.14/x
  3. Step 3: Cross multiply
    519,180.32x = 778,852.82 × 219,663.14
  4. Step 4: Simplify right side
    519,180.32x = 171,085,255,839.39
  5. Step 5: Solve for x
    x = 171,085,255,839.39/519,180.32
  6. Step 6: Final answer
    x = 329,529.55

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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.