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Finding the Fourth Proportional to 288,763.81, 433,219.52 and 111,223.15

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Solution

The fourth proportional to 288,763.81, 433,219.52 and 111,223.15 is: 166,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,763.81 : 433,219.52 = 111,223.15 : x
  2. Step 2: Convert to fraction form
    288,763.81/433,219.52 = 111,223.15/x
  3. Step 3: Cross multiply
    288,763.81x = 433,219.52 × 111,223.15
  4. Step 4: Simplify right side
    288,763.81x = 48,184,039,655.89
  5. Step 5: Solve for x
    x = 48,184,039,655.89/288,763.81
  6. Step 6: Final answer
    x = 166,863.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.