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Finding the Fourth Proportional to 357,172.61, 492,928.45 and 196,054.95

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Solution

The fourth proportional to 357,172.61, 492,928.45 and 196,054.95 is: 270,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,172.61 : 492,928.45 = 196,054.95 : x
  2. Step 2: Convert to fraction form
    357,172.61/492,928.45 = 196,054.95/x
  3. Step 3: Cross multiply
    357,172.61x = 492,928.45 × 196,054.95
  4. Step 4: Simplify right side
    357,172.61x = 96,641,062,128.19
  5. Step 5: Solve for x
    x = 96,641,062,128.19/357,172.61
  6. Step 6: Final answer
    x = 270,572.43

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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.