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Finding the Fourth Proportional to 511,918.02, 767,548.96 and 212,605.20

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Solution

The fourth proportional to 511,918.02, 767,548.96 and 212,605.20 is: 318,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,918.02 : 767,548.96 = 212,605.20 : x
  2. Step 2: Convert to fraction form
    511,918.02/767,548.96 = 212,605.20/x
  3. Step 3: Cross multiply
    511,918.02x = 767,548.96 × 212,605.20
  4. Step 4: Simplify right side
    511,918.02x = 163,184,900,150.59
  5. Step 5: Solve for x
    x = 163,184,900,150.59/511,918.02
  6. Step 6: Final answer
    x = 318,771.55

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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.