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Finding the Fourth Proportional to 369,802.26, 510,358.32 and 208,664.10

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Solution

The fourth proportional to 369,802.26, 510,358.32 and 208,664.10 is: 287,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,802.26 : 510,358.32 = 208,664.10 : x
  2. Step 2: Convert to fraction form
    369,802.26/510,358.32 = 208,664.10/x
  3. Step 3: Cross multiply
    369,802.26x = 510,358.32 × 208,664.10
  4. Step 4: Simplify right side
    369,802.26x = 106,493,459,520.31
  5. Step 5: Solve for x
    x = 106,493,459,520.31/369,802.26
  6. Step 6: Final answer
    x = 287,974.06

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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.