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Finding the Fourth Proportional to 354,576.76, 531,083.22 and 293,088.76

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Solution

The fourth proportional to 354,576.76, 531,083.22 and 293,088.76 is: 438,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,576.76 : 531,083.22 = 293,088.76 : x
  2. Step 2: Convert to fraction form
    354,576.76/531,083.22 = 293,088.76/x
  3. Step 3: Cross multiply
    354,576.76x = 531,083.22 × 293,088.76
  4. Step 4: Simplify right side
    354,576.76x = 155,654,522,406.61
  5. Step 5: Solve for x
    x = 155,654,522,406.61/354,576.76
  6. Step 6: Final answer
    x = 438,986.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.