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Finding the Fourth Proportional to 541,957.95, 747,870.21 and 296,894.16

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Solution

The fourth proportional to 541,957.95, 747,870.21 and 296,894.16 is: 409,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,957.95 : 747,870.21 = 296,894.16 : x
  2. Step 2: Convert to fraction form
    541,957.95/747,870.21 = 296,894.16/x
  3. Step 3: Cross multiply
    541,957.95x = 747,870.21 × 296,894.16
  4. Step 4: Simplify right side
    541,957.95x = 222,038,297,786.97
  5. Step 5: Solve for x
    x = 222,038,297,786.97/541,957.95
  6. Step 6: Final answer
    x = 409,696.54

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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.