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Finding the Fourth Proportional to 357,055.65, 492,768.74 and 195,942.10

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Solution

The fourth proportional to 357,055.65, 492,768.74 and 195,942.10 is: 270,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,055.65 : 492,768.74 = 195,942.10 : x
  2. Step 2: Convert to fraction form
    357,055.65/492,768.74 = 195,942.10/x
  3. Step 3: Cross multiply
    357,055.65x = 492,768.74 × 195,942.10
  4. Step 4: Simplify right side
    357,055.65x = 96,554,141,729.95
  5. Step 5: Solve for x
    x = 96,554,141,729.95/357,055.65
  6. Step 6: Final answer
    x = 270,417.63

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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.