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Finding the Fourth Proportional to 342,552.96, 513,907.68 and 184,777.92

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Solution

The fourth proportional to 342,552.96, 513,907.68 and 184,777.92 is: 277,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,552.96 : 513,907.68 = 184,777.92 : x
  2. Step 2: Convert to fraction form
    342,552.96/513,907.68 = 184,777.92/x
  3. Step 3: Cross multiply
    342,552.96x = 513,907.68 × 184,777.92
  4. Step 4: Simplify right side
    342,552.96x = 94,958,792,182.43
  5. Step 5: Solve for x
    x = 94,958,792,182.43/342,552.96
  6. Step 6: Final answer
    x = 277,209.08

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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.