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Finding the Fourth Proportional to 288,256.86, 397,795.32 and 160,937.28

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Solution

The fourth proportional to 288,256.86, 397,795.32 and 160,937.28 is: 222,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,256.86 : 397,795.32 = 160,937.28 : x
  2. Step 2: Convert to fraction form
    288,256.86/397,795.32 = 160,937.28/x
  3. Step 3: Cross multiply
    288,256.86x = 397,795.32 × 160,937.28
  4. Step 4: Simplify right side
    288,256.86x = 64,020,096,797.53
  5. Step 5: Solve for x
    x = 64,020,096,797.53/288,256.86
  6. Step 6: Final answer
    x = 222,093.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.