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Finding the Fourth Proportional to 702,982.80, 970,114.32 and 380,692.80

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Solution

The fourth proportional to 702,982.80, 970,114.32 and 380,692.80 is: 525,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,982.80 : 970,114.32 = 380,692.80 : x
  2. Step 2: Convert to fraction form
    702,982.80/970,114.32 = 380,692.80/x
  3. Step 3: Cross multiply
    702,982.80x = 970,114.32 × 380,692.80
  4. Step 4: Simplify right side
    702,982.80x = 369,315,536,800.90
  5. Step 5: Solve for x
    x = 369,315,536,800.90/702,982.80
  6. Step 6: Final answer
    x = 525,355.01

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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.