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Finding the Fourth Proportional to 397,735.78, 596,525.91 and 148,368.10

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Solution

The fourth proportional to 397,735.78, 596,525.91 and 148,368.10 is: 222,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,735.78 : 596,525.91 = 148,368.10 : x
  2. Step 2: Convert to fraction form
    397,735.78/596,525.91 = 148,368.10/x
  3. Step 3: Cross multiply
    397,735.78x = 596,525.91 × 148,368.10
  4. Step 4: Simplify right side
    397,735.78x = 88,505,415,867.47
  5. Step 5: Solve for x
    x = 88,505,415,867.47/397,735.78
  6. Step 6: Final answer
    x = 222,523.14

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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.