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Finding the Fourth Proportional to 357,211.74, 492,950.48 and 196,069.53

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Solution

The fourth proportional to 357,211.74, 492,950.48 and 196,069.53 is: 270,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,211.74 : 492,950.48 = 196,069.53 : x
  2. Step 2: Convert to fraction form
    357,211.74/492,950.48 = 196,069.53/x
  3. Step 3: Cross multiply
    357,211.74x = 492,950.48 × 196,069.53
  4. Step 4: Simplify right side
    357,211.74x = 96,652,569,795.09
  5. Step 5: Solve for x
    x = 96,652,569,795.09/357,211.74
  6. Step 6: Final answer
    x = 270,575.01

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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.