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Finding the Fourth Proportional to 333,542.06, 460,288.18 and 180,580.24

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Solution

The fourth proportional to 333,542.06, 460,288.18 and 180,580.24 is: 249,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,542.06 : 460,288.18 = 180,580.24 : x
  2. Step 2: Convert to fraction form
    333,542.06/460,288.18 = 180,580.24/x
  3. Step 3: Cross multiply
    333,542.06x = 460,288.18 × 180,580.24
  4. Step 4: Simplify right side
    333,542.06x = 83,118,950,013.56
  5. Step 5: Solve for x
    x = 83,118,950,013.56/333,542.06
  6. Step 6: Final answer
    x = 249,200.81

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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.