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Finding the Fourth Proportional to 1,202,158.34, 1,658,978.46 and 658,327.38

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Solution

The fourth proportional to 1,202,158.34, 1,658,978.46 and 658,327.38 is: 908,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,158.34 : 1,658,978.46 = 658,327.38 : x
  2. Step 2: Convert to fraction form
    1,202,158.34/1,658,978.46 = 658,327.38/x
  3. Step 3: Cross multiply
    1,202,158.34x = 1,658,978.46 × 658,327.38
  4. Step 4: Simplify right side
    1,202,158.34x = 1,092,150,943,048.23
  5. Step 5: Solve for x
    x = 1,092,150,943,048.23/1,202,158.34
  6. Step 6: Final answer
    x = 908,491.76

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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.