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Finding the Fourth Proportional to 342,384.40, 513,576.60 and 164,848.60

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Solution

The fourth proportional to 342,384.40, 513,576.60 and 164,848.60 is: 247,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,384.40 : 513,576.60 = 164,848.60 : x
  2. Step 2: Convert to fraction form
    342,384.40/513,576.60 = 164,848.60/x
  3. Step 3: Cross multiply
    342,384.40x = 513,576.60 × 164,848.60
  4. Step 4: Simplify right side
    342,384.40x = 84,662,383,502.76
  5. Step 5: Solve for x
    x = 84,662,383,502.76/342,384.40
  6. Step 6: Final answer
    x = 247,272.90

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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.