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Finding the Fourth Proportional to 357,114.59, 492,824.27 and 195,984.63

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Solution

The fourth proportional to 357,114.59, 492,824.27 and 195,984.63 is: 270,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114.59 : 492,824.27 = 195,984.63 : x
  2. Step 2: Convert to fraction form
    357,114.59/492,824.27 = 195,984.63/x
  3. Step 3: Cross multiply
    357,114.59x = 492,824.27 × 195,984.63
  4. Step 4: Simplify right side
    357,114.59x = 96,585,981,598.52
  5. Step 5: Solve for x
    x = 96,585,981,598.52/357,114.59
  6. Step 6: Final answer
    x = 270,462.16

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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.