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Finding the Fourth Proportional to 354,188.84, 488,596.45 and 224,906.12

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Solution

The fourth proportional to 354,188.84, 488,596.45 and 224,906.12 is: 310,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,188.84 : 488,596.45 = 224,906.12 : x
  2. Step 2: Convert to fraction form
    354,188.84/488,596.45 = 224,906.12/x
  3. Step 3: Cross multiply
    354,188.84x = 488,596.45 × 224,906.12
  4. Step 4: Simplify right side
    354,188.84x = 109,888,329,726.15
  5. Step 5: Solve for x
    x = 109,888,329,726.15/354,188.84
  6. Step 6: Final answer
    x = 310,253.51

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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.