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Finding the Fourth Proportional to 397,626.94, 596,420.97 and 148,289.50

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Solution

The fourth proportional to 397,626.94, 596,420.97 and 148,289.50 is: 222,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,626.94 : 596,420.97 = 148,289.50 : x
  2. Step 2: Convert to fraction form
    397,626.94/596,420.97 = 148,289.50/x
  3. Step 3: Cross multiply
    397,626.94x = 596,420.97 × 148,289.50
  4. Step 4: Simplify right side
    397,626.94x = 88,442,967,430.82
  5. Step 5: Solve for x
    x = 88,442,967,430.82/397,626.94
  6. Step 6: Final answer
    x = 222,427.00

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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.