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Finding the Fourth Proportional to 702,906.37, 970,082.40 and 506,834.14

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Solution

The fourth proportional to 702,906.37, 970,082.40 and 506,834.14 is: 699,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,906.37 : 970,082.40 = 506,834.14 : x
  2. Step 2: Convert to fraction form
    702,906.37/970,082.40 = 506,834.14/x
  3. Step 3: Cross multiply
    702,906.37x = 970,082.40 × 506,834.14
  4. Step 4: Simplify right side
    702,906.37x = 491,670,878,933.14
  5. Step 5: Solve for x
    x = 491,670,878,933.14/702,906.37
  6. Step 6: Final answer
    x = 699,482.75

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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.