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Finding the Fourth Proportional to 293,817.84, 440,782.08 and 209,368.50

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Solution

The fourth proportional to 293,817.84, 440,782.08 and 209,368.50 is: 314,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,817.84 : 440,782.08 = 209,368.50 : x
  2. Step 2: Convert to fraction form
    293,817.84/440,782.08 = 209,368.50/x
  3. Step 3: Cross multiply
    293,817.84x = 440,782.08 × 209,368.50
  4. Step 4: Simplify right side
    293,817.84x = 92,285,882,916.48
  5. Step 5: Solve for x
    x = 92,285,882,916.48/293,817.84
  6. Step 6: Final answer
    x = 314,092.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.