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Finding the Fourth Proportional to 255,147, 380,025.27 and 241,824.12

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Solution

The fourth proportional to 255,147, 380,025.27 and 241,824.12 is: 360,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,147 : 380,025.27 = 241,824.12 : x
  2. Step 2: Convert to fraction form
    255,147/380,025.27 = 241,824.12/x
  3. Step 3: Cross multiply
    255,147x = 380,025.27 × 241,824.12
  4. Step 4: Simplify right side
    255,147x = 91,899,276,495.51
  5. Step 5: Solve for x
    x = 91,899,276,495.51/255,147
  6. Step 6: Final answer
    x = 360,181.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.