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Finding the Fourth Proportional to 665,033.80, 997,356.30 and 238,520.20

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Solution

The fourth proportional to 665,033.80, 997,356.30 and 238,520.20 is: 357,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,033.80 : 997,356.30 = 238,520.20 : x
  2. Step 2: Convert to fraction form
    665,033.80/997,356.30 = 238,520.20/x
  3. Step 3: Cross multiply
    665,033.80x = 997,356.30 × 238,520.20
  4. Step 4: Simplify right side
    665,033.80x = 237,889,624,147.26
  5. Step 5: Solve for x
    x = 237,889,624,147.26/665,033.80
  6. Step 6: Final answer
    x = 357,710.58

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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.