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Finding the Fourth Proportional to 345,616.75, 476,951.12 and 186,640.75

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Solution

The fourth proportional to 345,616.75, 476,951.12 and 186,640.75 is: 257,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,616.75 : 476,951.12 = 186,640.75 : x
  2. Step 2: Convert to fraction form
    345,616.75/476,951.12 = 186,640.75/x
  3. Step 3: Cross multiply
    345,616.75x = 476,951.12 × 186,640.75
  4. Step 4: Simplify right side
    345,616.75x = 89,018,514,750.14
  5. Step 5: Solve for x
    x = 89,018,514,750.14/345,616.75
  6. Step 6: Final answer
    x = 257,564.24

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1.5x scale

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.