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Finding the Fourth Proportional to 357,657.90, 493,576.07 and 196,502.73

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Solution

The fourth proportional to 357,657.90, 493,576.07 and 196,502.73 is: 271,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,657.90 : 493,576.07 = 196,502.73 : x
  2. Step 2: Convert to fraction form
    357,657.90/493,576.07 = 196,502.73/x
  3. Step 3: Cross multiply
    357,657.90x = 493,576.07 × 196,502.73
  4. Step 4: Simplify right side
    357,657.90x = 96,989,044,235.16
  5. Step 5: Solve for x
    x = 96,989,044,235.16/357,657.90
  6. Step 6: Final answer
    x = 271,178.25

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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.