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Finding the Fourth Proportional to 352,812.80, 528,441.60 and 313,414.40

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Solution

The fourth proportional to 352,812.80, 528,441.60 and 313,414.40 is: 469,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,812.80 : 528,441.60 = 313,414.40 : x
  2. Step 2: Convert to fraction form
    352,812.80/528,441.60 = 313,414.40/x
  3. Step 3: Cross multiply
    352,812.80x = 528,441.60 × 313,414.40
  4. Step 4: Simplify right side
    352,812.80x = 165,621,206,999.04
  5. Step 5: Solve for x
    x = 165,621,206,999.04/352,812.80
  6. Step 6: Final answer
    x = 469,430.83

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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.