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Finding the Fourth Proportional to 340,598.16, 509,983.56 and 190,410.71

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Solution

The fourth proportional to 340,598.16, 509,983.56 and 190,410.71 is: 285,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,598.16 : 509,983.56 = 190,410.71 : x
  2. Step 2: Convert to fraction form
    340,598.16/509,983.56 = 190,410.71/x
  3. Step 3: Cross multiply
    340,598.16x = 509,983.56 × 190,410.71
  4. Step 4: Simplify right side
    340,598.16x = 97,106,329,198.01
  5. Step 5: Solve for x
    x = 97,106,329,198.01/340,598.16
  6. Step 6: Final answer
    x = 285,105.27

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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.