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Finding the Fourth Proportional to 347,096.80, 520,693.80 and 147,415.60

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Solution

The fourth proportional to 347,096.80, 520,693.80 and 147,415.60 is: 221,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,096.80 : 520,693.80 = 147,415.60 : x
  2. Step 2: Convert to fraction form
    347,096.80/520,693.80 = 147,415.60/x
  3. Step 3: Cross multiply
    347,096.80x = 520,693.80 × 147,415.60
  4. Step 4: Simplify right side
    347,096.80x = 76,758,388,943.28
  5. Step 5: Solve for x
    x = 76,758,388,943.28/347,096.80
  6. Step 6: Final answer
    x = 221,144.04

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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.