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Finding the Fourth Proportional to 511,395.90, 767,315.28 and 274,461.78

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Solution

The fourth proportional to 511,395.90, 767,315.28 and 274,461.78 is: 411,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,395.90 : 767,315.28 = 274,461.78 : x
  2. Step 2: Convert to fraction form
    511,395.90/767,315.28 = 274,461.78/x
  3. Step 3: Cross multiply
    511,395.90x = 767,315.28 × 274,461.78
  4. Step 4: Simplify right side
    511,395.90x = 210,598,717,570.00
  5. Step 5: Solve for x
    x = 210,598,717,570.00/511,395.90
  6. Step 6: Final answer
    x = 411,811.51

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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.