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Finding the Fourth Proportional to 256,099.20, 384,148.80 and 242,977.20

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Solution

The fourth proportional to 256,099.20, 384,148.80 and 242,977.20 is: 364,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.20 : 384,148.80 = 242,977.20 : x
  2. Step 2: Convert to fraction form
    256,099.20/384,148.80 = 242,977.20/x
  3. Step 3: Cross multiply
    256,099.20x = 384,148.80 × 242,977.20
  4. Step 4: Simplify right side
    256,099.20x = 93,339,399,807.36
  5. Step 5: Solve for x
    x = 93,339,399,807.36/256,099.20
  6. Step 6: Final answer
    x = 364,465.80

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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.