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Finding the Fourth Proportional to 357,381.12, 493,163.54 and 196,235.40

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Solution

The fourth proportional to 357,381.12, 493,163.54 and 196,235.40 is: 270,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,381.12 : 493,163.54 = 196,235.40 : x
  2. Step 2: Convert to fraction form
    357,381.12/493,163.54 = 196,235.40/x
  3. Step 3: Cross multiply
    357,381.12x = 493,163.54 × 196,235.40
  4. Step 4: Simplify right side
    357,381.12x = 96,776,144,537.32
  5. Step 5: Solve for x
    x = 96,776,144,537.32/357,381.12
  6. Step 6: Final answer
    x = 270,792.55

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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.