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Finding the Fourth Proportional to 511,559.18, 767,127.65 and 174,627

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Solution

The fourth proportional to 511,559.18, 767,127.65 and 174,627 is: 261,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,559.18 : 767,127.65 = 174,627 : x
  2. Step 2: Convert to fraction form
    511,559.18/767,127.65 = 174,627/x
  3. Step 3: Cross multiply
    511,559.18x = 767,127.65 × 174,627
  4. Step 4: Simplify right side
    511,559.18x = 133,961,199,263.42
  5. Step 5: Solve for x
    x = 133,961,199,263.42/511,559.18
  6. Step 6: Final answer
    x = 261,868.43

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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.