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Finding the Fourth Proportional to 397,625.94, 596,419.47 and 148,288.50

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Solution

The fourth proportional to 397,625.94, 596,419.47 and 148,288.50 is: 222,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,625.94 : 596,419.47 = 148,288.50 : x
  2. Step 2: Convert to fraction form
    397,625.94/596,419.47 = 148,288.50/x
  3. Step 3: Cross multiply
    397,625.94x = 596,419.47 × 148,288.50
  4. Step 4: Simplify right side
    397,625.94x = 88,442,148,577.10
  5. Step 5: Solve for x
    x = 88,442,148,577.10/397,625.94
  6. Step 6: Final answer
    x = 222,425.50

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Why These Related Problems?

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