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Finding the Fourth Proportional to 357,793.12, 536,607.65 and 213,739.54

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Solution

The fourth proportional to 357,793.12, 536,607.65 and 213,739.54 is: 320,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,793.12 : 536,607.65 = 213,739.54 : x
  2. Step 2: Convert to fraction form
    357,793.12/536,607.65 = 213,739.54/x
  3. Step 3: Cross multiply
    357,793.12x = 536,607.65 × 213,739.54
  4. Step 4: Simplify right side
    357,793.12x = 114,694,272,271.48
  5. Step 5: Solve for x
    x = 114,694,272,271.48/357,793.12
  6. Step 6: Final answer
    x = 320,560.31

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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.