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Finding the Fourth Proportional to 541,596, 747,428.16 and 326,731.46

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Solution

The fourth proportional to 541,596, 747,428.16 and 326,731.46 is: 450,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,596 : 747,428.16 = 326,731.46 : x
  2. Step 2: Convert to fraction form
    541,596/747,428.16 = 326,731.46/x
  3. Step 3: Cross multiply
    541,596x = 747,428.16 × 326,731.46
  4. Step 4: Simplify right side
    541,596x = 244,208,290,224.77
  5. Step 5: Solve for x
    x = 244,208,290,224.77/541,596
  6. Step 6: Final answer
    x = 450,904.90

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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.