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Finding the Fourth Proportional to 380,659.68, 525,317.07 and 208,566.39

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Solution

The fourth proportional to 380,659.68, 525,317.07 and 208,566.39 is: 287,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,659.68 : 525,317.07 = 208,566.39 : x
  2. Step 2: Convert to fraction form
    380,659.68/525,317.07 = 208,566.39/x
  3. Step 3: Cross multiply
    380,659.68x = 525,317.07 × 208,566.39
  4. Step 4: Simplify right side
    380,659.68x = 109,563,484,895.28
  5. Step 5: Solve for x
    x = 109,563,484,895.28/380,659.68
  6. Step 6: Final answer
    x = 287,825.30

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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.