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Finding the Fourth Proportional to 357,140.64, 492,713.78 and 204,096.73

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Solution

The fourth proportional to 357,140.64, 492,713.78 and 204,096.73 is: 281,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,140.64 : 492,713.78 = 204,096.73 : x
  2. Step 2: Convert to fraction form
    357,140.64/492,713.78 = 204,096.73/x
  3. Step 3: Cross multiply
    357,140.64x = 492,713.78 × 204,096.73
  4. Step 4: Simplify right side
    357,140.64x = 100,561,271,323.94
  5. Step 5: Solve for x
    x = 100,561,271,323.94/357,140.64
  6. Step 6: Final answer
    x = 281,573.31

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1.5x scale

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.