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Finding the Fourth Proportional to 357,097.74, 492,793.51 and 195,955.48

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Solution

The fourth proportional to 357,097.74, 492,793.51 and 195,955.48 is: 270,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,097.74 : 492,793.51 = 195,955.48 : x
  2. Step 2: Convert to fraction form
    357,097.74/492,793.51 = 195,955.48/x
  3. Step 3: Cross multiply
    357,097.74x = 492,793.51 × 195,955.48
  4. Step 4: Simplify right side
    357,097.74x = 96,565,588,792.93
  5. Step 5: Solve for x
    x = 96,565,588,792.93/357,097.74
  6. Step 6: Final answer
    x = 270,417.81

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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.