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Finding the Fourth Proportional to 405,602.31, 607,974.44 and 152,773.41

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Solution

The fourth proportional to 405,602.31, 607,974.44 and 152,773.41 is: 228,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,602.31 : 607,974.44 = 152,773.41 : x
  2. Step 2: Convert to fraction form
    405,602.31/607,974.44 = 152,773.41/x
  3. Step 3: Cross multiply
    405,602.31x = 607,974.44 × 152,773.41
  4. Step 4: Simplify right side
    405,602.31x = 92,882,327,627.77
  5. Step 5: Solve for x
    x = 92,882,327,627.77/405,602.31
  6. Step 6: Final answer
    x = 228,998.52

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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.