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Finding the Fourth Proportional to 291,650.52, 402,477.72 and 157,514.52

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Solution

The fourth proportional to 291,650.52, 402,477.72 and 157,514.52 is: 217,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,650.52 : 402,477.72 = 157,514.52 : x
  2. Step 2: Convert to fraction form
    291,650.52/402,477.72 = 157,514.52/x
  3. Step 3: Cross multiply
    291,650.52x = 402,477.72 × 157,514.52
  4. Step 4: Simplify right side
    291,650.52x = 63,396,084,876.49
  5. Step 5: Solve for x
    x = 63,396,084,876.49/291,650.52
  6. Step 6: Final answer
    x = 217,370.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.