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Finding the Fourth Proportional to 340,754.17, 510,476.16 and 190,538.86

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Solution

The fourth proportional to 340,754.17, 510,476.16 and 190,538.86 is: 285,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,754.17 : 510,476.16 = 190,538.86 : x
  2. Step 2: Convert to fraction form
    340,754.17/510,476.16 = 190,538.86/x
  3. Step 3: Cross multiply
    340,754.17x = 510,476.16 × 190,538.86
  4. Step 4: Simplify right side
    340,754.17x = 97,265,545,583.58
  5. Step 5: Solve for x
    x = 97,265,545,583.58/340,754.17
  6. Step 6: Final answer
    x = 285,441.98

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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.