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Finding the Fourth Proportional to 519,096.40, 778,498.80 and 164,219.20

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Solution

The fourth proportional to 519,096.40, 778,498.80 and 164,219.20 is: 246,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,096.40 : 778,498.80 = 164,219.20 : x
  2. Step 2: Convert to fraction form
    519,096.40/778,498.80 = 164,219.20/x
  3. Step 3: Cross multiply
    519,096.40x = 778,498.80 × 164,219.20
  4. Step 4: Simplify right side
    519,096.40x = 127,844,450,136.96
  5. Step 5: Solve for x
    x = 127,844,450,136.96/519,096.40
  6. Step 6: Final answer
    x = 246,282.68

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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.