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Finding the Fourth Proportional to 347,114.80, 519,635.40 and 206,801.20

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Solution

The fourth proportional to 347,114.80, 519,635.40 and 206,801.20 is: 309,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114.80 : 519,635.40 = 206,801.20 : x
  2. Step 2: Convert to fraction form
    347,114.80/519,635.40 = 206,801.20/x
  3. Step 3: Cross multiply
    347,114.80x = 519,635.40 × 206,801.20
  4. Step 4: Simplify right side
    347,114.80x = 107,461,224,282.48
  5. Step 5: Solve for x
    x = 107,461,224,282.48/347,114.80
  6. Step 6: Final answer
    x = 309,584.10

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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.