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Finding the Fourth Proportional to 501,946.76, 752,760.36 and 164,909.00

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Solution

The fourth proportional to 501,946.76, 752,760.36 and 164,909.00 is: 247,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,946.76 : 752,760.36 = 164,909.00 : x
  2. Step 2: Convert to fraction form
    501,946.76/752,760.36 = 164,909.00/x
  3. Step 3: Cross multiply
    501,946.76x = 752,760.36 × 164,909.00
  4. Step 4: Simplify right side
    501,946.76x = 124,136,954,443.44
  5. Step 5: Solve for x
    x = 124,136,954,443.44/501,946.76
  6. Step 6: Final answer
    x = 247,311.00

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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.