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Finding the Fourth Proportional to 256,622.06, 384,925.13 and 106,858.58

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Solution

The fourth proportional to 256,622.06, 384,925.13 and 106,858.58 is: 160,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,622.06 : 384,925.13 = 106,858.58 : x
  2. Step 2: Convert to fraction form
    256,622.06/384,925.13 = 106,858.58/x
  3. Step 3: Cross multiply
    256,622.06x = 384,925.13 × 106,858.58
  4. Step 4: Simplify right side
    256,622.06x = 41,132,553,226.14
  5. Step 5: Solve for x
    x = 41,132,553,226.14/256,622.06
  6. Step 6: Final answer
    x = 160,284.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.