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Finding the Fourth Proportional to 353,204.80, 529,029.60 and 313,806.40

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Solution

The fourth proportional to 353,204.80, 529,029.60 and 313,806.40 is: 470,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,204.80 : 529,029.60 = 313,806.40 : x
  2. Step 2: Convert to fraction form
    353,204.80/529,029.60 = 313,806.40/x
  3. Step 3: Cross multiply
    353,204.80x = 529,029.60 × 313,806.40
  4. Step 4: Simplify right side
    353,204.80x = 166,012,874,269.44
  5. Step 5: Solve for x
    x = 166,012,874,269.44/353,204.80
  6. Step 6: Final answer
    x = 470,018.74

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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.