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Finding the Fourth Proportional to 356,583.76, 492,083.32 and 195,448.84

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Solution

The fourth proportional to 356,583.76, 492,083.32 and 195,448.84 is: 269,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,583.76 : 492,083.32 = 195,448.84 : x
  2. Step 2: Convert to fraction form
    356,583.76/492,083.32 = 195,448.84/x
  3. Step 3: Cross multiply
    356,583.76x = 492,083.32 × 195,448.84
  4. Step 4: Simplify right side
    356,583.76x = 96,177,114,077.35
  5. Step 5: Solve for x
    x = 96,177,114,077.35/356,583.76
  6. Step 6: Final answer
    x = 269,718.16

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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.