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Finding the Fourth Proportional to 702,964.70, 970,091.80 and 380,675.14

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Solution

The fourth proportional to 702,964.70, 970,091.80 and 380,675.14 is: 525,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,964.70 : 970,091.80 = 380,675.14 : x
  2. Step 2: Convert to fraction form
    702,964.70/970,091.80 = 380,675.14/x
  3. Step 3: Cross multiply
    702,964.70x = 970,091.80 × 380,675.14
  4. Step 4: Simplify right side
    702,964.70x = 369,289,831,777.85
  5. Step 5: Solve for x
    x = 369,289,831,777.85/702,964.70
  6. Step 6: Final answer
    x = 525,331.97

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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.