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Finding the Fourth Proportional to 288,114.30, 431,620.65 and 154,950.30

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Solution

The fourth proportional to 288,114.30, 431,620.65 and 154,950.30 is: 232,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,114.30 : 431,620.65 = 154,950.30 : x
  2. Step 2: Convert to fraction form
    288,114.30/431,620.65 = 154,950.30/x
  3. Step 3: Cross multiply
    288,114.30x = 431,620.65 × 154,950.30
  4. Step 4: Simplify right side
    288,114.30x = 66,879,749,203.70
  5. Step 5: Solve for x
    x = 66,879,749,203.70/288,114.30
  6. Step 6: Final answer
    x = 232,129.23

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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.