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Finding the Fourth Proportional to 265,212.72, 397,502.88 and 184,815.36

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Solution

The fourth proportional to 265,212.72, 397,502.88 and 184,815.36 is: 277,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,212.72 : 397,502.88 = 184,815.36 : x
  2. Step 2: Convert to fraction form
    265,212.72/397,502.88 = 184,815.36/x
  3. Step 3: Cross multiply
    265,212.72x = 397,502.88 × 184,815.36
  4. Step 4: Simplify right side
    265,212.72x = 73,464,637,868.24
  5. Step 5: Solve for x
    x = 73,464,637,868.24/265,212.72
  6. Step 6: Final answer
    x = 277,002.69

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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.