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Finding the Fourth Proportional to 301,835.23, 416,441.78 and 180,932.40

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Solution

The fourth proportional to 301,835.23, 416,441.78 and 180,932.40 is: 249,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,835.23 : 416,441.78 = 180,932.40 : x
  2. Step 2: Convert to fraction form
    301,835.23/416,441.78 = 180,932.40/x
  3. Step 3: Cross multiply
    301,835.23x = 416,441.78 × 180,932.40
  4. Step 4: Simplify right side
    301,835.23x = 75,347,810,715.67
  5. Step 5: Solve for x
    x = 75,347,810,715.67/301,835.23
  6. Step 6: Final answer
    x = 249,632.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.