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Finding the Fourth Proportional to 357,114.43, 492,818.75 and 195,970.78

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Solution

The fourth proportional to 357,114.43, 492,818.75 and 195,970.78 is: 270,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114.43 : 492,818.75 = 195,970.78 : x
  2. Step 2: Convert to fraction form
    357,114.43/492,818.75 = 195,970.78/x
  3. Step 3: Cross multiply
    357,114.43x = 492,818.75 × 195,970.78
  4. Step 4: Simplify right side
    357,114.43x = 96,578,074,836.13
  5. Step 5: Solve for x
    x = 96,578,074,836.13/357,114.43
  6. Step 6: Final answer
    x = 270,440.14

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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.