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Finding the Fourth Proportional to 321,567.40, 482,398.62 and 111,148.84

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Solution

The fourth proportional to 321,567.40, 482,398.62 and 111,148.84 is: 166,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,567.40 : 482,398.62 = 111,148.84 : x
  2. Step 2: Convert to fraction form
    321,567.40/482,398.62 = 111,148.84/x
  3. Step 3: Cross multiply
    321,567.40x = 482,398.62 × 111,148.84
  4. Step 4: Simplify right side
    321,567.40x = 53,618,047,030.60
  5. Step 5: Solve for x
    x = 53,618,047,030.60/321,567.40
  6. Step 6: Final answer
    x = 166,739.69

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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.