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Finding the Fourth Proportional to 340,753.17, 510,474.66 and 190,537.86

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Solution

The fourth proportional to 340,753.17, 510,474.66 and 190,537.86 is: 285,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,753.17 : 510,474.66 = 190,537.86 : x
  2. Step 2: Convert to fraction form
    340,753.17/510,474.66 = 190,537.86/x
  3. Step 3: Cross multiply
    340,753.17x = 510,474.66 × 190,537.86
  4. Step 4: Simplify right side
    340,753.17x = 97,264,749,300.63
  5. Step 5: Solve for x
    x = 97,264,749,300.63/340,753.17
  6. Step 6: Final answer
    x = 285,440.48

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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.