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Finding the Fourth Proportional to 357,052.60, 492,732.55 and 204,094.06

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Solution

The fourth proportional to 357,052.60, 492,732.55 and 204,094.06 is: 281,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,052.60 : 492,732.55 = 204,094.06 : x
  2. Step 2: Convert to fraction form
    357,052.60/492,732.55 = 204,094.06/x
  3. Step 3: Cross multiply
    357,052.60x = 492,732.55 × 204,094.06
  4. Step 4: Simplify right side
    357,052.60x = 100,563,786,623.65
  5. Step 5: Solve for x
    x = 100,563,786,623.65/357,052.60
  6. Step 6: Final answer
    x = 281,649.78

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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.