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Finding the Fourth Proportional to 289,570.51, 433,764.46 and 149,033.89

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Solution

The fourth proportional to 289,570.51, 433,764.46 and 149,033.89 is: 223,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,570.51 : 433,764.46 = 149,033.89 : x
  2. Step 2: Convert to fraction form
    289,570.51/433,764.46 = 149,033.89/x
  3. Step 3: Cross multiply
    289,570.51x = 433,764.46 × 149,033.89
  4. Step 4: Simplify right side
    289,570.51x = 64,645,604,817.55
  5. Step 5: Solve for x
    x = 64,645,604,817.55/289,570.51
  6. Step 6: Final answer
    x = 223,246.51

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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.