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Finding the Fourth Proportional to 505,197.90, 757,254.51 and 251,978.13

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Solution

The fourth proportional to 505,197.90, 757,254.51 and 251,978.13 is: 377,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,197.90 : 757,254.51 = 251,978.13 : x
  2. Step 2: Convert to fraction form
    505,197.90/757,254.51 = 251,978.13/x
  3. Step 3: Cross multiply
    505,197.90x = 757,254.51 × 251,978.13
  4. Step 4: Simplify right side
    505,197.90x = 190,811,575,363.87
  5. Step 5: Solve for x
    x = 190,811,575,363.87/505,197.90
  6. Step 6: Final answer
    x = 377,696.69

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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.