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Finding the Fourth Proportional to 357,114.40, 492,823.91 and 195,984.45

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Solution

The fourth proportional to 357,114.40, 492,823.91 and 195,984.45 is: 270,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114.40 : 492,823.91 = 195,984.45 : x
  2. Step 2: Convert to fraction form
    357,114.40/492,823.91 = 195,984.45/x
  3. Step 3: Cross multiply
    357,114.40x = 492,823.91 × 195,984.45
  4. Step 4: Simplify right side
    357,114.40x = 96,585,823,438.16
  5. Step 5: Solve for x
    x = 96,585,823,438.16/357,114.40
  6. Step 6: Final answer
    x = 270,461.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.