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Finding the Fourth Proportional to 357,042.60, 492,718.75 and 204,084.06

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Solution

The fourth proportional to 357,042.60, 492,718.75 and 204,084.06 is: 281,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,042.60 : 492,718.75 = 204,084.06 : x
  2. Step 2: Convert to fraction form
    357,042.60/492,718.75 = 204,084.06/x
  3. Step 3: Cross multiply
    357,042.60x = 492,718.75 × 204,084.06
  4. Step 4: Simplify right side
    357,042.60x = 100,556,042,427.92
  5. Step 5: Solve for x
    x = 100,556,042,427.92/357,042.60
  6. Step 6: Final answer
    x = 281,635.98

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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.