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Finding the Fourth Proportional to 511,806.31, 767,681.76 and 156,821.36

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Solution

The fourth proportional to 511,806.31, 767,681.76 and 156,821.36 is: 235,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,806.31 : 767,681.76 = 156,821.36 : x
  2. Step 2: Convert to fraction form
    511,806.31/767,681.76 = 156,821.36/x
  3. Step 3: Cross multiply
    511,806.31x = 767,681.76 × 156,821.36
  4. Step 4: Simplify right side
    511,806.31x = 120,388,897,650.39
  5. Step 5: Solve for x
    x = 120,388,897,650.39/511,806.31
  6. Step 6: Final answer
    x = 235,223.55

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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.