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Finding the Fourth Proportional to 340,694.29, 510,386.41 and 190,478.98

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Solution

The fourth proportional to 340,694.29, 510,386.41 and 190,478.98 is: 285,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,694.29 : 510,386.41 = 190,478.98 : x
  2. Step 2: Convert to fraction form
    340,694.29/510,386.41 = 190,478.98/x
  3. Step 3: Cross multiply
    340,694.29x = 510,386.41 × 190,478.98
  4. Step 4: Simplify right side
    340,694.29x = 97,217,882,782.66
  5. Step 5: Solve for x
    x = 97,217,882,782.66/340,694.29
  6. Step 6: Final answer
    x = 285,352.25

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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.