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Finding the Fourth Proportional to 405,980.40, 609,116.40 and 169,395.60

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Solution

The fourth proportional to 405,980.40, 609,116.40 and 169,395.60 is: 254,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,980.40 : 609,116.40 = 169,395.60 : x
  2. Step 2: Convert to fraction form
    405,980.40/609,116.40 = 169,395.60/x
  3. Step 3: Cross multiply
    405,980.40x = 609,116.40 × 169,395.60
  4. Step 4: Simplify right side
    405,980.40x = 103,181,638,047.84
  5. Step 5: Solve for x
    x = 103,181,638,047.84/405,980.40
  6. Step 6: Final answer
    x = 254,154.24

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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.