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Finding the Fourth Proportional to 289,566.51, 433,758.47 and 149,029.89

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Solution

The fourth proportional to 289,566.51, 433,758.47 and 149,029.89 is: 223,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,566.51 : 433,758.47 = 149,029.89 : x
  2. Step 2: Convert to fraction form
    289,566.51/433,758.47 = 149,029.89/x
  3. Step 3: Cross multiply
    289,566.51x = 433,758.47 × 149,029.89
  4. Step 4: Simplify right side
    289,566.51x = 64,642,976,325.52
  5. Step 5: Solve for x
    x = 64,642,976,325.52/289,566.51
  6. Step 6: Final answer
    x = 223,240.51

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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.