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Finding the Fourth Proportional to 380,809.60, 571,214.40 and 194,185.60

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Solution

The fourth proportional to 380,809.60, 571,214.40 and 194,185.60 is: 291,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,809.60 : 571,214.40 = 194,185.60 : x
  2. Step 2: Convert to fraction form
    380,809.60/571,214.40 = 194,185.60/x
  3. Step 3: Cross multiply
    380,809.60x = 571,214.40 × 194,185.60
  4. Step 4: Simplify right side
    380,809.60x = 110,921,610,992.64
  5. Step 5: Solve for x
    x = 110,921,610,992.64/380,809.60
  6. Step 6: Final answer
    x = 291,278.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.