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Finding the Fourth Proportional to 256,224.30, 384,336.45 and 243,977.10

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Solution

The fourth proportional to 256,224.30, 384,336.45 and 243,977.10 is: 365,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,224.30 : 384,336.45 = 243,977.10 : x
  2. Step 2: Convert to fraction form
    256,224.30/384,336.45 = 243,977.10/x
  3. Step 3: Cross multiply
    256,224.30x = 384,336.45 × 243,977.10
  4. Step 4: Simplify right side
    256,224.30x = 93,769,292,495.30
  5. Step 5: Solve for x
    x = 93,769,292,495.30/256,224.30
  6. Step 6: Final answer
    x = 365,965.65

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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.