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Finding the Fourth Proportional to 519,092.74, 778,777.62 and 164,113.48

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Solution

The fourth proportional to 519,092.74, 778,777.62 and 164,113.48 is: 246,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,092.74 : 778,777.62 = 164,113.48 : x
  2. Step 2: Convert to fraction form
    519,092.74/778,777.62 = 164,113.48/x
  3. Step 3: Cross multiply
    519,092.74x = 778,777.62 × 164,113.48
  4. Step 4: Simplify right side
    519,092.74x = 127,807,905,364.32
  5. Step 5: Solve for x
    x = 127,807,905,364.32/519,092.74
  6. Step 6: Final answer
    x = 246,214.01

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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.