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Finding the Fourth Proportional to 354,145.77, 488,706.90 and 192,997.36

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Solution

The fourth proportional to 354,145.77, 488,706.90 and 192,997.36 is: 266,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,145.77 : 488,706.90 = 192,997.36 : x
  2. Step 2: Convert to fraction form
    354,145.77/488,706.90 = 192,997.36/x
  3. Step 3: Cross multiply
    354,145.77x = 488,706.90 × 192,997.36
  4. Step 4: Simplify right side
    354,145.77x = 94,319,141,513.78
  5. Step 5: Solve for x
    x = 94,319,141,513.78/354,145.77
  6. Step 6: Final answer
    x = 266,328.58

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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.