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Finding the Fourth Proportional to 405,985.40, 609,123.90 and 169,400.60

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Solution

The fourth proportional to 405,985.40, 609,123.90 and 169,400.60 is: 254,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,985.40 : 609,123.90 = 169,400.60 : x
  2. Step 2: Convert to fraction form
    405,985.40/609,123.90 = 169,400.60/x
  3. Step 3: Cross multiply
    405,985.40x = 609,123.90 × 169,400.60
  4. Step 4: Simplify right side
    405,985.40x = 103,185,954,134.34
  5. Step 5: Solve for x
    x = 103,185,954,134.34/405,985.40
  6. Step 6: Final answer
    x = 254,161.74

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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.