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Finding the Fourth Proportional to 356,898.21, 492,551.13 and 195,784.66

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Solution

The fourth proportional to 356,898.21, 492,551.13 and 195,784.66 is: 270,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,898.21 : 492,551.13 = 195,784.66 : x
  2. Step 2: Convert to fraction form
    356,898.21/492,551.13 = 195,784.66/x
  3. Step 3: Cross multiply
    356,898.21x = 492,551.13 × 195,784.66
  4. Step 4: Simplify right side
    356,898.21x = 96,433,955,519.67
  5. Step 5: Solve for x
    x = 96,433,955,519.67/356,898.21
  6. Step 6: Final answer
    x = 270,200.17

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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.