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Finding the Fourth Proportional to 342,361.37, 513,663.60 and 152,804.48

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Solution

The fourth proportional to 342,361.37, 513,663.60 and 152,804.48 is: 229,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,361.37 : 513,663.60 = 152,804.48 : x
  2. Step 2: Convert to fraction form
    342,361.37/513,663.60 = 152,804.48/x
  3. Step 3: Cross multiply
    342,361.37x = 513,663.60 × 152,804.48
  4. Step 4: Simplify right side
    342,361.37x = 78,490,099,292.93
  5. Step 5: Solve for x
    x = 78,490,099,292.93/342,361.37
  6. Step 6: Final answer
    x = 229,260.97

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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.