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Finding the Fourth Proportional to 342,395.45, 513,314.80 and 142,864.46

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Solution

The fourth proportional to 342,395.45, 513,314.80 and 142,864.46 is: 214,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,395.45 : 513,314.80 = 142,864.46 : x
  2. Step 2: Convert to fraction form
    342,395.45/513,314.80 = 142,864.46/x
  3. Step 3: Cross multiply
    342,395.45x = 513,314.80 × 142,864.46
  4. Step 4: Simplify right side
    342,395.45x = 73,334,438,788.27
  5. Step 5: Solve for x
    x = 73,334,438,788.27/342,395.45
  6. Step 6: Final answer
    x = 214,180.53

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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.