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Finding the Fourth Proportional to 288,263.96, 397,689.84 and 192,619.16

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Solution

The fourth proportional to 288,263.96, 397,689.84 and 192,619.16 is: 265,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,263.96 : 397,689.84 = 192,619.16 : x
  2. Step 2: Convert to fraction form
    288,263.96/397,689.84 = 192,619.16/x
  3. Step 3: Cross multiply
    288,263.96x = 397,689.84 × 192,619.16
  4. Step 4: Simplify right side
    288,263.96x = 76,602,682,921.33
  5. Step 5: Solve for x
    x = 76,602,682,921.33/288,263.96
  6. Step 6: Final answer
    x = 265,737.98

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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.