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Finding the Fourth Proportional to 333,294.48, 460,161 and 297,422.82

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Solution

The fourth proportional to 333,294.48, 460,161 and 297,422.82 is: 410,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,294.48 : 460,161 = 297,422.82 : x
  2. Step 2: Convert to fraction form
    333,294.48/460,161 = 297,422.82/x
  3. Step 3: Cross multiply
    333,294.48x = 460,161 × 297,422.82
  4. Step 4: Simplify right side
    333,294.48x = 136,862,382,274.02
  5. Step 5: Solve for x
    x = 136,862,382,274.02/333,294.48
  6. Step 6: Final answer
    x = 410,635.01

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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.