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Finding the Fourth Proportional to 333,546.30, 460,294.19 and 180,584.60

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Solution

The fourth proportional to 333,546.30, 460,294.19 and 180,584.60 is: 249,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,546.30 : 460,294.19 = 180,584.60 : x
  2. Step 2: Convert to fraction form
    333,546.30/460,294.19 = 180,584.60/x
  3. Step 3: Cross multiply
    333,546.30x = 460,294.19 × 180,584.60
  4. Step 4: Simplify right side
    333,546.30x = 83,122,038,979.08
  5. Step 5: Solve for x
    x = 83,122,038,979.08/333,546.30
  6. Step 6: Final answer
    x = 249,206.90

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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.