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Finding the Fourth Proportional to 515,334.95, 773,006.54 and 211,650.86

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Solution

The fourth proportional to 515,334.95, 773,006.54 and 211,650.86 is: 317,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,334.95 : 773,006.54 = 211,650.86 : x
  2. Step 2: Convert to fraction form
    515,334.95/773,006.54 = 211,650.86/x
  3. Step 3: Cross multiply
    515,334.95x = 773,006.54 × 211,650.86
  4. Step 4: Simplify right side
    515,334.95x = 163,607,498,976.62
  5. Step 5: Solve for x
    x = 163,607,498,976.62/515,334.95
  6. Step 6: Final answer
    x = 317,477.98

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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.