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Finding the Fourth Proportional to 342,482.32, 513,504.78 and 164,635.48

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Solution

The fourth proportional to 342,482.32, 513,504.78 and 164,635.48 is: 246,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,482.32 : 513,504.78 = 164,635.48 : x
  2. Step 2: Convert to fraction form
    342,482.32/513,504.78 = 164,635.48/x
  3. Step 3: Cross multiply
    342,482.32x = 513,504.78 × 164,635.48
  4. Step 4: Simplify right side
    342,482.32x = 84,541,105,937.59
  5. Step 5: Solve for x
    x = 84,541,105,937.59/342,482.32
  6. Step 6: Final answer
    x = 246,848.09

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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.