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Finding the Fourth Proportional to 294,944.25, 407,023.47 and 160,808.25

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Solution

The fourth proportional to 294,944.25, 407,023.47 and 160,808.25 is: 221,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,944.25 : 407,023.47 = 160,808.25 : x
  2. Step 2: Convert to fraction form
    294,944.25/407,023.47 = 160,808.25/x
  3. Step 3: Cross multiply
    294,944.25x = 407,023.47 × 160,808.25
  4. Step 4: Simplify right side
    294,944.25x = 65,452,731,919.63
  5. Step 5: Solve for x
    x = 65,452,731,919.63/294,944.25
  6. Step 6: Final answer
    x = 221,915.61

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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.