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Finding the Fourth Proportional to 405,083.66, 607,230.57 and 161,852.23

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Solution

The fourth proportional to 405,083.66, 607,230.57 and 161,852.23 is: 242,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,083.66 : 607,230.57 = 161,852.23 : x
  2. Step 2: Convert to fraction form
    405,083.66/607,230.57 = 161,852.23/x
  3. Step 3: Cross multiply
    405,083.66x = 607,230.57 × 161,852.23
  4. Step 4: Simplify right side
    405,083.66x = 98,281,620,917.32
  5. Step 5: Solve for x
    x = 98,281,620,917.32/405,083.66
  6. Step 6: Final answer
    x = 242,620.55

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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.