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Finding the Fourth Proportional to 357,051.60, 492,731.16 and 204,093.06

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Solution

The fourth proportional to 357,051.60, 492,731.16 and 204,093.06 is: 281,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,051.60 : 492,731.16 = 204,093.06 : x
  2. Step 2: Convert to fraction form
    357,051.60/492,731.16 = 204,093.06/x
  3. Step 3: Cross multiply
    357,051.60x = 492,731.16 × 204,093.06
  4. Step 4: Simplify right side
    357,051.60x = 100,563,010,201.75
  5. Step 5: Solve for x
    x = 100,563,010,201.75/357,051.60
  6. Step 6: Final answer
    x = 281,648.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.