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Finding the Fourth Proportional to 377,802.18, 521,364.60 and 208,035

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Solution

The fourth proportional to 377,802.18, 521,364.60 and 208,035 is: 287,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,802.18 : 521,364.60 = 208,035 : x
  2. Step 2: Convert to fraction form
    377,802.18/521,364.60 = 208,035/x
  3. Step 3: Cross multiply
    377,802.18x = 521,364.60 × 208,035
  4. Step 4: Simplify right side
    377,802.18x = 108,462,084,561
  5. Step 5: Solve for x
    x = 108,462,084,561/377,802.18
  6. Step 6: Final answer
    x = 287,086.97

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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.