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Finding the Fourth Proportional to 405,291.64, 607,023.74 and 195,086.92

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Solution

The fourth proportional to 405,291.64, 607,023.74 and 195,086.92 is: 292,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,291.64 : 607,023.74 = 195,086.92 : x
  2. Step 2: Convert to fraction form
    405,291.64/607,023.74 = 195,086.92/x
  3. Step 3: Cross multiply
    405,291.64x = 607,023.74 × 195,086.92
  4. Step 4: Simplify right side
    405,291.64x = 118,422,391,803.48
  5. Step 5: Solve for x
    x = 118,422,391,803.48/405,291.64
  6. Step 6: Final answer
    x = 292,190.56

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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.