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Finding the Fourth Proportional to 346,578.71, 519,940.98 and 196,888.28

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Solution

The fourth proportional to 346,578.71, 519,940.98 and 196,888.28 is: 295,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578.71 : 519,940.98 = 196,888.28 : x
  2. Step 2: Convert to fraction form
    346,578.71/519,940.98 = 196,888.28/x
  3. Step 3: Cross multiply
    346,578.71x = 519,940.98 × 196,888.28
  4. Step 4: Simplify right side
    346,578.71x = 102,370,282,654.01
  5. Step 5: Solve for x
    x = 102,370,282,654.01/346,578.71
  6. Step 6: Final answer
    x = 295,373.84

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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.