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Finding the Fourth Proportional to 286,214.95, 394,956.83 and 158,880.49

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Solution

The fourth proportional to 286,214.95, 394,956.83 and 158,880.49 is: 219,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,214.95 : 394,956.83 = 158,880.49 : x
  2. Step 2: Convert to fraction form
    286,214.95/394,956.83 = 158,880.49/x
  3. Step 3: Cross multiply
    286,214.95x = 394,956.83 × 158,880.49
  4. Step 4: Simplify right side
    286,214.95x = 62,750,934,679.25
  5. Step 5: Solve for x
    x = 62,750,934,679.25/286,214.95
  6. Step 6: Final answer
    x = 219,244.08

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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.