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Finding the Fourth Proportional to 289,020.30, 433,357.65 and 149,052.30

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Solution

The fourth proportional to 289,020.30, 433,357.65 and 149,052.30 is: 223,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,020.30 : 433,357.65 = 149,052.30 : x
  2. Step 2: Convert to fraction form
    289,020.30/433,357.65 = 149,052.30/x
  3. Step 3: Cross multiply
    289,020.30x = 433,357.65 × 149,052.30
  4. Step 4: Simplify right side
    289,020.30x = 64,592,954,455.10
  5. Step 5: Solve for x
    x = 64,592,954,455.10/289,020.30
  6. Step 6: Final answer
    x = 223,489.33

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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.