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Finding the Fourth Proportional to 288,922.44, 433,463.40 and 120,521.93

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Solution

The fourth proportional to 288,922.44, 433,463.40 and 120,521.93 is: 180,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,922.44 : 433,463.40 = 120,521.93 : x
  2. Step 2: Convert to fraction form
    288,922.44/433,463.40 = 120,521.93/x
  3. Step 3: Cross multiply
    288,922.44x = 433,463.40 × 120,521.93
  4. Step 4: Simplify right side
    288,922.44x = 52,241,843,385.05
  5. Step 5: Solve for x
    x = 52,241,843,385.05/288,922.44
  6. Step 6: Final answer
    x = 180,816.15

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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.