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Finding the Fourth Proportional to 442,142.40, 661,802.40 and 348,830.40

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Solution

The fourth proportional to 442,142.40, 661,802.40 and 348,830.40 is: 522,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,142.40 : 661,802.40 = 348,830.40 : x
  2. Step 2: Convert to fraction form
    442,142.40/661,802.40 = 348,830.40/x
  3. Step 3: Cross multiply
    442,142.40x = 661,802.40 × 348,830.40
  4. Step 4: Simplify right side
    442,142.40x = 230,856,795,912.96
  5. Step 5: Solve for x
    x = 230,856,795,912.96/442,142.40
  6. Step 6: Final answer
    x = 522,132.23

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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.