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Finding the Fourth Proportional to 541,515.64, 811,791 and 257,030.68

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Solution

The fourth proportional to 541,515.64, 811,791 and 257,030.68 is: 385,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,515.64 : 811,791 = 257,030.68 : x
  2. Step 2: Convert to fraction form
    541,515.64/811,791 = 257,030.68/x
  3. Step 3: Cross multiply
    541,515.64x = 811,791 × 257,030.68
  4. Step 4: Simplify right side
    541,515.64x = 208,655,192,747.88
  5. Step 5: Solve for x
    x = 208,655,192,747.88/541,515.64
  6. Step 6: Final answer
    x = 385,317.02

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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.