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Finding the Fourth Proportional to 346,470.80, 519,317.40 and 196,782.80

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Solution

The fourth proportional to 346,470.80, 519,317.40 and 196,782.80 is: 294,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,470.80 : 519,317.40 = 196,782.80 : x
  2. Step 2: Convert to fraction form
    346,470.80/519,317.40 = 196,782.80/x
  3. Step 3: Cross multiply
    346,470.80x = 519,317.40 × 196,782.80
  4. Step 4: Simplify right side
    346,470.80x = 102,192,732,060.72
  5. Step 5: Solve for x
    x = 102,192,732,060.72/346,470.80
  6. Step 6: Final answer
    x = 294,953.38

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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.