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Finding the Fourth Proportional to 256,077.70, 384,116.55 and 242,955.70

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Solution

The fourth proportional to 256,077.70, 384,116.55 and 242,955.70 is: 364,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,077.70 : 384,116.55 = 242,955.70 : x
  2. Step 2: Convert to fraction form
    256,077.70/384,116.55 = 242,955.70/x
  3. Step 3: Cross multiply
    256,077.70x = 384,116.55 × 242,955.70
  4. Step 4: Simplify right side
    256,077.70x = 93,323,305,286.84
  5. Step 5: Solve for x
    x = 93,323,305,286.84/256,077.70
  6. Step 6: Final answer
    x = 364,433.55

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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.