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Finding the Fourth Proportional to 341,772.80, 512,712.48 and 164,246.72

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Solution

The fourth proportional to 341,772.80, 512,712.48 and 164,246.72 is: 246,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,772.80 : 512,712.48 = 164,246.72 : x
  2. Step 2: Convert to fraction form
    341,772.80/512,712.48 = 164,246.72/x
  3. Step 3: Cross multiply
    341,772.80x = 512,712.48 × 164,246.72
  4. Step 4: Simplify right side
    341,772.80x = 84,211,343,143.07
  5. Step 5: Solve for x
    x = 84,211,343,143.07/341,772.80
  6. Step 6: Final answer
    x = 246,395.68

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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.