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Finding the Fourth Proportional to 342,295.82, 513,225.03 and 164,448.98

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Solution

The fourth proportional to 342,295.82, 513,225.03 and 164,448.98 is: 246,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,295.82 : 513,225.03 = 164,448.98 : x
  2. Step 2: Convert to fraction form
    342,295.82/513,225.03 = 164,448.98/x
  3. Step 3: Cross multiply
    342,295.82x = 513,225.03 × 164,448.98
  4. Step 4: Simplify right side
    342,295.82x = 84,399,332,693.97
  5. Step 5: Solve for x
    x = 84,399,332,693.97/342,295.82
  6. Step 6: Final answer
    x = 246,568.40

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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.