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Finding the Fourth Proportional to 511,989.60, 767,984.40 and 456,002.40

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Solution

The fourth proportional to 511,989.60, 767,984.40 and 456,002.40 is: 684,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,989.60 : 767,984.40 = 456,002.40 : x
  2. Step 2: Convert to fraction form
    511,989.60/767,984.40 = 456,002.40/x
  3. Step 3: Cross multiply
    511,989.60x = 767,984.40 × 456,002.40
  4. Step 4: Simplify right side
    511,989.60x = 350,202,729,562.56
  5. Step 5: Solve for x
    x = 350,202,729,562.56/511,989.60
  6. Step 6: Final answer
    x = 684,003.60

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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.