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Finding the Fourth Proportional to 279,590.95, 418,971.70 and 205,356.07

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Solution

The fourth proportional to 279,590.95, 418,971.70 and 205,356.07 is: 307,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,590.95 : 418,971.70 = 205,356.07 : x
  2. Step 2: Convert to fraction form
    279,590.95/418,971.70 = 205,356.07/x
  3. Step 3: Cross multiply
    279,590.95x = 418,971.70 × 205,356.07
  4. Step 4: Simplify right side
    279,590.95x = 86,038,381,753.22
  5. Step 5: Solve for x
    x = 86,038,381,753.22/279,590.95
  6. Step 6: Final answer
    x = 307,729.49

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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.