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Finding the Fourth Proportional to 333,640.47, 460,424.10 and 180,679.86

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Solution

The fourth proportional to 333,640.47, 460,424.10 and 180,679.86 is: 249,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,640.47 : 460,424.10 = 180,679.86 : x
  2. Step 2: Convert to fraction form
    333,640.47/460,424.10 = 180,679.86/x
  3. Step 3: Cross multiply
    333,640.47x = 460,424.10 × 180,679.86
  4. Step 4: Simplify right side
    333,640.47x = 83,189,361,928.63
  5. Step 5: Solve for x
    x = 83,189,361,928.63/333,640.47
  6. Step 6: Final answer
    x = 249,338.34

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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.