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Finding the Fourth Proportional to 702,111.56, 1,053,758.14 and 657,824.80

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Solution

The fourth proportional to 702,111.56, 1,053,758.14 and 657,824.80 is: 987,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,111.56 : 1,053,758.14 = 657,824.80 : x
  2. Step 2: Convert to fraction form
    702,111.56/1,053,758.14 = 657,824.80/x
  3. Step 3: Cross multiply
    702,111.56x = 1,053,758.14 × 657,824.80
  4. Step 4: Simplify right side
    702,111.56x = 693,188,237,693.87
  5. Step 5: Solve for x
    x = 693,188,237,693.87/702,111.56
  6. Step 6: Final answer
    x = 987,290.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.