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Finding the Fourth Proportional to 357,151.63, 492,867.70 and 196,009.28

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Solution

The fourth proportional to 357,151.63, 492,867.70 and 196,009.28 is: 270,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,151.63 : 492,867.70 = 196,009.28 : x
  2. Step 2: Convert to fraction form
    357,151.63/492,867.70 = 196,009.28/x
  3. Step 3: Cross multiply
    357,151.63x = 492,867.70 × 196,009.28
  4. Step 4: Simplify right side
    357,151.63x = 96,606,643,754.40
  5. Step 5: Solve for x
    x = 96,606,643,754.40/357,151.63
  6. Step 6: Final answer
    x = 270,491.96

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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.