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Finding the Fourth Proportional to 646,874.80, 970,312.20 and 366,938.80

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Solution

The fourth proportional to 646,874.80, 970,312.20 and 366,938.80 is: 550,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,874.80 : 970,312.20 = 366,938.80 : x
  2. Step 2: Convert to fraction form
    646,874.80/970,312.20 = 366,938.80/x
  3. Step 3: Cross multiply
    646,874.80x = 970,312.20 × 366,938.80
  4. Step 4: Simplify right side
    646,874.80x = 356,045,194,293.36
  5. Step 5: Solve for x
    x = 356,045,194,293.36/646,874.80
  6. Step 6: Final answer
    x = 550,408.20

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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.