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Finding the Fourth Proportional to 405,076.80, 607,615.20 and 328,969.20

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Solution

The fourth proportional to 405,076.80, 607,615.20 and 328,969.20 is: 493,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,076.80 : 607,615.20 = 328,969.20 : x
  2. Step 2: Convert to fraction form
    405,076.80/607,615.20 = 328,969.20/x
  3. Step 3: Cross multiply
    405,076.80x = 607,615.20 × 328,969.20
  4. Step 4: Simplify right side
    405,076.80x = 199,886,686,251.84
  5. Step 5: Solve for x
    x = 199,886,686,251.84/405,076.80
  6. Step 6: Final answer
    x = 493,453.80

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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.