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Finding the Fourth Proportional to 339,953.47, 509,700.15 and 190,297.06

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Solution

The fourth proportional to 339,953.47, 509,700.15 and 190,297.06 is: 285,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,953.47 : 509,700.15 = 190,297.06 : x
  2. Step 2: Convert to fraction form
    339,953.47/509,700.15 = 190,297.06/x
  3. Step 3: Cross multiply
    339,953.47x = 509,700.15 × 190,297.06
  4. Step 4: Simplify right side
    339,953.47x = 96,994,440,026.56
  5. Step 5: Solve for x
    x = 96,994,440,026.56/339,953.47
  6. Step 6: Final answer
    x = 285,316.81

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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.