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Finding the Fourth Proportional to 702,993.80, 970,129.50 and 380,703.80

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Solution

The fourth proportional to 702,993.80, 970,129.50 and 380,703.80 is: 525,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,993.80 : 970,129.50 = 380,703.80 : x
  2. Step 2: Convert to fraction form
    702,993.80/970,129.50 = 380,703.80/x
  3. Step 3: Cross multiply
    702,993.80x = 970,129.50 × 380,703.80
  4. Step 4: Simplify right side
    702,993.80x = 369,331,987,142.10
  5. Step 5: Solve for x
    x = 369,331,987,142.10/702,993.80
  6. Step 6: Final answer
    x = 525,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.