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Finding the Fourth Proportional to 702,965.70, 970,093.19 and 380,676.15

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Solution

The fourth proportional to 702,965.70, 970,093.19 and 380,676.15 is: 525,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,965.70 : 970,093.19 = 380,676.15 : x
  2. Step 2: Convert to fraction form
    702,965.70/970,093.19 = 380,676.15/x
  3. Step 3: Cross multiply
    702,965.70x = 970,093.19 × 380,676.15
  4. Step 4: Simplify right side
    702,965.70x = 369,291,340,710.42
  5. Step 5: Solve for x
    x = 369,291,340,710.42/702,965.70
  6. Step 6: Final answer
    x = 525,333.37

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1.5x scale

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.