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Finding the Fourth Proportional to 380,286.86, 524,802.08 and 208,201.94

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Solution

The fourth proportional to 380,286.86, 524,802.08 and 208,201.94 is: 287,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,286.86 : 524,802.08 = 208,201.94 : x
  2. Step 2: Convert to fraction form
    380,286.86/524,802.08 = 208,201.94/x
  3. Step 3: Cross multiply
    380,286.86x = 524,802.08 × 208,201.94
  4. Step 4: Simplify right side
    380,286.86x = 109,264,811,172.04
  5. Step 5: Solve for x
    x = 109,264,811,172.04/380,286.86
  6. Step 6: Final answer
    x = 287,322.08

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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.