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Finding the Fourth Proportional to 256,366.98, 384,578.58 and 106,624.98

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Solution

The fourth proportional to 256,366.98, 384,578.58 and 106,624.98 is: 159,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,366.98 : 384,578.58 = 106,624.98 : x
  2. Step 2: Convert to fraction form
    256,366.98/384,578.58 = 106,624.98/x
  3. Step 3: Cross multiply
    256,366.98x = 384,578.58 × 106,624.98
  4. Step 4: Simplify right side
    256,366.98x = 41,005,683,400.93
  5. Step 5: Solve for x
    x = 41,005,683,400.93/256,366.98
  6. Step 6: Final answer
    x = 159,949.16

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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.