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Finding the Fourth Proportional to 702,908.37, 970,085.16 and 506,836.14

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Solution

The fourth proportional to 702,908.37, 970,085.16 and 506,836.14 is: 699,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,908.37 : 970,085.16 = 506,836.14 : x
  2. Step 2: Convert to fraction form
    702,908.37/970,085.16 = 506,836.14/x
  3. Step 3: Cross multiply
    702,908.37x = 970,085.16 × 506,836.14
  4. Step 4: Simplify right side
    702,908.37x = 491,674,217,965.68
  5. Step 5: Solve for x
    x = 491,674,217,965.68/702,908.37
  6. Step 6: Final answer
    x = 699,485.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.