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Finding the Fourth Proportional to 356,860.86, 492,474.29 and 195,714.50

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Solution

The fourth proportional to 356,860.86, 492,474.29 and 195,714.50 is: 270,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,860.86 : 492,474.29 = 195,714.50 : x
  2. Step 2: Convert to fraction form
    356,860.86/492,474.29 = 195,714.50/x
  3. Step 3: Cross multiply
    356,860.86x = 492,474.29 × 195,714.50
  4. Step 4: Simplify right side
    356,860.86x = 96,384,355,989.26
  5. Step 5: Solve for x
    x = 96,384,355,989.26/356,860.86
  6. Step 6: Final answer
    x = 270,089.46

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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.