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Finding the Fourth Proportional to 352,051.80, 528,077.70 and 313,344.60

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Solution

The fourth proportional to 352,051.80, 528,077.70 and 313,344.60 is: 470,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,051.80 : 528,077.70 = 313,344.60 : x
  2. Step 2: Convert to fraction form
    352,051.80/528,077.70 = 313,344.60/x
  3. Step 3: Cross multiply
    352,051.80x = 528,077.70 × 313,344.60
  4. Step 4: Simplify right side
    352,051.80x = 165,470,295,675.42
  5. Step 5: Solve for x
    x = 165,470,295,675.42/352,051.80
  6. Step 6: Final answer
    x = 470,016.90

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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.