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Finding the Fourth Proportional to 357,213.60, 492,959.88 and 196,065.72

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Solution

The fourth proportional to 357,213.60, 492,959.88 and 196,065.72 is: 270,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,213.60 : 492,959.88 = 196,065.72 : x
  2. Step 2: Convert to fraction form
    357,213.60/492,959.88 = 196,065.72/x
  3. Step 3: Cross multiply
    357,213.60x = 492,959.88 × 196,065.72
  4. Step 4: Simplify right side
    357,213.60x = 96,652,533,803.31
  5. Step 5: Solve for x
    x = 96,652,533,803.31/357,213.60
  6. Step 6: Final answer
    x = 270,573.50

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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.