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Finding the Fourth Proportional to 278,692, 384,595.68 and 163,974.94

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Solution

The fourth proportional to 278,692, 384,595.68 and 163,974.94 is: 226,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,692 : 384,595.68 = 163,974.94 : x
  2. Step 2: Convert to fraction form
    278,692/384,595.68 = 163,974.94/x
  3. Step 3: Cross multiply
    278,692x = 384,595.68 × 163,974.94
  4. Step 4: Simplify right side
    278,692x = 63,064,053,552.26
  5. Step 5: Solve for x
    x = 63,064,053,552.26/278,692
  6. Step 6: Final answer
    x = 226,285.84

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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.