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Finding the Fourth Proportional to 442,981.40, 665,128.20 and 343,254.20

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Solution

The fourth proportional to 442,981.40, 665,128.20 and 343,254.20 is: 515,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,981.40 : 665,128.20 = 343,254.20 : x
  2. Step 2: Convert to fraction form
    442,981.40/665,128.20 = 343,254.20/x
  3. Step 3: Cross multiply
    442,981.40x = 665,128.20 × 343,254.20
  4. Step 4: Simplify right side
    442,981.40x = 228,308,048,188.44
  5. Step 5: Solve for x
    x = 228,308,048,188.44/442,981.40
  6. Step 6: Final answer
    x = 515,389.69

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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.