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Finding the Fourth Proportional to 342,364.36, 513,766.86 and 184,701.64

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Solution

The fourth proportional to 342,364.36, 513,766.86 and 184,701.64 is: 277,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,364.36 : 513,766.86 = 184,701.64 : x
  2. Step 2: Convert to fraction form
    342,364.36/513,766.86 = 184,701.64/x
  3. Step 3: Cross multiply
    342,364.36x = 513,766.86 × 184,701.64
  4. Step 4: Simplify right side
    342,364.36x = 94,893,581,619.65
  5. Step 5: Solve for x
    x = 94,893,581,619.65/342,364.36
  6. Step 6: Final answer
    x = 277,171.32

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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.