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Finding the Fourth Proportional to 646,989.20, 970,354.20 and 310,029.20

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Solution

The fourth proportional to 646,989.20, 970,354.20 and 310,029.20 is: 464,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,989.20 : 970,354.20 = 310,029.20 : x
  2. Step 2: Convert to fraction form
    646,989.20/970,354.20 = 310,029.20/x
  3. Step 3: Cross multiply
    646,989.20x = 970,354.20 × 310,029.20
  4. Step 4: Simplify right side
    646,989.20x = 300,838,136,342.64
  5. Step 5: Solve for x
    x = 300,838,136,342.64/646,989.20
  6. Step 6: Final answer
    x = 464,981.70

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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.