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Finding the Fourth Proportional to 511,811.34, 767,807.36 and 174,773.03

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Solution

The fourth proportional to 511,811.34, 767,807.36 and 174,773.03 is: 262,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,811.34 : 767,807.36 = 174,773.03 : x
  2. Step 2: Convert to fraction form
    511,811.34/767,807.36 = 174,773.03/x
  3. Step 3: Cross multiply
    511,811.34x = 767,807.36 × 174,773.03
  4. Step 4: Simplify right side
    511,811.34x = 134,192,014,050.60
  5. Step 5: Solve for x
    x = 134,192,014,050.60/511,811.34
  6. Step 6: Final answer
    x = 262,190.39

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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.