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Finding the Fourth Proportional to 541,032.73, 746,584 and 299,310.11

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Solution

The fourth proportional to 541,032.73, 746,584 and 299,310.11 is: 413,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,032.73 : 746,584 = 299,310.11 : x
  2. Step 2: Convert to fraction form
    541,032.73/746,584 = 299,310.11/x
  3. Step 3: Cross multiply
    541,032.73x = 746,584 × 299,310.11
  4. Step 4: Simplify right side
    541,032.73x = 223,460,139,164.24
  5. Step 5: Solve for x
    x = 223,460,139,164.24/541,032.73
  6. Step 6: Final answer
    x = 413,025.18

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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.