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Finding the Fourth Proportional to 357,652.54, 493,561.12 and 196,506.10

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Solution

The fourth proportional to 357,652.54, 493,561.12 and 196,506.10 is: 271,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,652.54 : 493,561.12 = 196,506.10 : x
  2. Step 2: Convert to fraction form
    357,652.54/493,561.12 = 196,506.10/x
  3. Step 3: Cross multiply
    357,652.54x = 493,561.12 × 196,506.10
  4. Step 4: Simplify right side
    357,652.54x = 96,987,770,802.83
  5. Step 5: Solve for x
    x = 96,987,770,802.83/357,652.54
  6. Step 6: Final answer
    x = 271,178.76

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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.