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Finding the Fourth Proportional to 333,381.97, 460,063.52 and 180,416.77

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Solution

The fourth proportional to 333,381.97, 460,063.52 and 180,416.77 is: 248,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,381.97 : 460,063.52 = 180,416.77 : x
  2. Step 2: Convert to fraction form
    333,381.97/460,063.52 = 180,416.77/x
  3. Step 3: Cross multiply
    333,381.97x = 460,063.52 × 180,416.77
  4. Step 4: Simplify right side
    333,381.97x = 83,003,174,273.23
  5. Step 5: Solve for x
    x = 83,003,174,273.23/333,381.97
  6. Step 6: Final answer
    x = 248,973.20

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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.