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Finding the Fourth Proportional to 288,932.67, 433,478.59 and 120,532.05

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Solution

The fourth proportional to 288,932.67, 433,478.59 and 120,532.05 is: 180,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,932.67 : 433,478.59 = 120,532.05 : x
  2. Step 2: Convert to fraction form
    288,932.67/433,478.59 = 120,532.05/x
  3. Step 3: Cross multiply
    288,932.67x = 433,478.59 × 120,532.05
  4. Step 4: Simplify right side
    288,932.67x = 52,248,062,782.48
  5. Step 5: Solve for x
    x = 52,248,062,782.48/288,932.67
  6. Step 6: Final answer
    x = 180,831.27

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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.