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Finding the Fourth Proportional to 702,904.87, 970,080.33 and 506,832.64

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Solution

The fourth proportional to 702,904.87, 970,080.33 and 506,832.64 is: 699,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904.87 : 970,080.33 = 506,832.64 : x
  2. Step 2: Convert to fraction form
    702,904.87/970,080.33 = 506,832.64/x
  3. Step 3: Cross multiply
    702,904.87x = 970,080.33 × 506,832.64
  4. Step 4: Simplify right side
    702,904.87x = 491,668,374,665.97
  5. Step 5: Solve for x
    x = 491,668,374,665.97/702,904.87
  6. Step 6: Final answer
    x = 699,480.68

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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.