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Finding the Fourth Proportional to 342,017.32, 471,982.74 and 191,114.32

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Solution

The fourth proportional to 342,017.32, 471,982.74 and 191,114.32 is: 263,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,017.32 : 471,982.74 = 191,114.32 : x
  2. Step 2: Convert to fraction form
    342,017.32/471,982.74 = 191,114.32/x
  3. Step 3: Cross multiply
    342,017.32x = 471,982.74 × 191,114.32
  4. Step 4: Simplify right side
    342,017.32x = 90,202,660,406.84
  5. Step 5: Solve for x
    x = 90,202,660,406.84/342,017.32
  6. Step 6: Final answer
    x = 263,737.11

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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.