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Finding the Fourth Proportional to 702,965.82, 970,093.35 and 380,676.27

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Solution

The fourth proportional to 702,965.82, 970,093.35 and 380,676.27 is: 525,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,965.82 : 970,093.35 = 380,676.27 : x
  2. Step 2: Convert to fraction form
    702,965.82/970,093.35 = 380,676.27/x
  3. Step 3: Cross multiply
    702,965.82x = 970,093.35 × 380,676.27
  4. Step 4: Simplify right side
    702,965.82x = 369,291,518,029.81
  5. Step 5: Solve for x
    x = 369,291,518,029.81/702,965.82
  6. Step 6: Final answer
    x = 525,333.53

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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.