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Finding the Fourth Proportional to 452,057.90, 677,102.70 and 274,254.80

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Solution

The fourth proportional to 452,057.90, 677,102.70 and 274,254.80 is: 410,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,057.90 : 677,102.70 = 274,254.80 : x
  2. Step 2: Convert to fraction form
    452,057.90/677,102.70 = 274,254.80/x
  3. Step 3: Cross multiply
    452,057.90x = 677,102.70 × 274,254.80
  4. Step 4: Simplify right side
    452,057.90x = 185,698,665,567.96
  5. Step 5: Solve for x
    x = 185,698,665,567.96/452,057.90
  6. Step 6: Final answer
    x = 410,785.14

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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.