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Finding the Fourth Proportional to 565,538.80, 848,308.20 and 325,406.20

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Solution

The fourth proportional to 565,538.80, 848,308.20 and 325,406.20 is: 488,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,538.80 : 848,308.20 = 325,406.20 : x
  2. Step 2: Convert to fraction form
    565,538.80/848,308.20 = 325,406.20/x
  3. Step 3: Cross multiply
    565,538.80x = 848,308.20 × 325,406.20
  4. Step 4: Simplify right side
    565,538.80x = 276,044,747,790.84
  5. Step 5: Solve for x
    x = 276,044,747,790.84/565,538.80
  6. Step 6: Final answer
    x = 488,109.30

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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.