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Finding the Fourth Proportional to 357,047.60, 492,725.64 and 204,089.06

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Solution

The fourth proportional to 357,047.60, 492,725.64 and 204,089.06 is: 281,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,047.60 : 492,725.64 = 204,089.06 : x
  2. Step 2: Convert to fraction form
    357,047.60/492,725.64 = 204,089.06/x
  3. Step 3: Cross multiply
    357,047.60x = 492,725.64 × 204,089.06
  4. Step 4: Simplify right side
    357,047.60x = 100,559,912,705.50
  5. Step 5: Solve for x
    x = 100,559,912,705.50/357,047.60
  6. Step 6: Final answer
    x = 281,642.88

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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.