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Finding the Fourth Proportional to 357,147.86, 492,848.52 and 196,005.58

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Solution

The fourth proportional to 357,147.86, 492,848.52 and 196,005.58 is: 270,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,147.86 : 492,848.52 = 196,005.58 : x
  2. Step 2: Convert to fraction form
    357,147.86/492,848.52 = 196,005.58/x
  3. Step 3: Cross multiply
    357,147.86x = 492,848.52 × 196,005.58
  4. Step 4: Simplify right side
    357,147.86x = 96,601,058,047.60
  5. Step 5: Solve for x
    x = 96,601,058,047.60/357,147.86
  6. Step 6: Final answer
    x = 270,479.18

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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.