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Finding the Fourth Proportional to 378,289.13, 522,039 and 208,526.90

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Solution

The fourth proportional to 378,289.13, 522,039 and 208,526.90 is: 287,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,289.13 : 522,039 = 208,526.90 : x
  2. Step 2: Convert to fraction form
    378,289.13/522,039 = 208,526.90/x
  3. Step 3: Cross multiply
    378,289.13x = 522,039 × 208,526.90
  4. Step 4: Simplify right side
    378,289.13x = 108,859,174,349.10
  5. Step 5: Solve for x
    x = 108,859,174,349.10/378,289.13
  6. Step 6: Final answer
    x = 287,767.12

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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.