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Finding the Fourth Proportional to 347,098.20, 520,841.70 and 147,384.60

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Solution

The fourth proportional to 347,098.20, 520,841.70 and 147,384.60 is: 221,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,098.20 : 520,841.70 = 147,384.60 : x
  2. Step 2: Convert to fraction form
    347,098.20/520,841.70 = 147,384.60/x
  3. Step 3: Cross multiply
    347,098.20x = 520,841.70 × 147,384.60
  4. Step 4: Simplify right side
    347,098.20x = 76,764,045,617.82
  5. Step 5: Solve for x
    x = 76,764,045,617.82/347,098.20
  6. Step 6: Final answer
    x = 221,159.45

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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.