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Finding the Fourth Proportional to 354,117.80, 488,682.57 and 192,972.80

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Solution

The fourth proportional to 354,117.80, 488,682.57 and 192,972.80 is: 266,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,117.80 : 488,682.57 = 192,972.80 : x
  2. Step 2: Convert to fraction form
    354,117.80/488,682.57 = 192,972.80/x
  3. Step 3: Cross multiply
    354,117.80x = 488,682.57 × 192,972.80
  4. Step 4: Simplify right side
    354,117.80x = 94,302,443,844.10
  5. Step 5: Solve for x
    x = 94,302,443,844.10/354,117.80
  6. Step 6: Final answer
    x = 266,302.47

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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.