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Finding the Fourth Proportional to 357,275.41, 493,042.14 and 196,131.78

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Solution

The fourth proportional to 357,275.41, 493,042.14 and 196,131.78 is: 270,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,275.41 : 493,042.14 = 196,131.78 : x
  2. Step 2: Convert to fraction form
    357,275.41/493,042.14 = 196,131.78/x
  3. Step 3: Cross multiply
    357,275.41x = 493,042.14 × 196,131.78
  4. Step 4: Simplify right side
    357,275.41x = 96,701,232,533.21
  5. Step 5: Solve for x
    x = 96,701,232,533.21/357,275.41
  6. Step 6: Final answer
    x = 270,663.00

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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.