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Finding the Fourth Proportional to 322,427.80, 483,641.70 and 322,427.80

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Solution

The fourth proportional to 322,427.80, 483,641.70 and 322,427.80 is: 483,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,427.80 : 483,641.70 = 322,427.80 : x
  2. Step 2: Convert to fraction form
    322,427.80/483,641.70 = 322,427.80/x
  3. Step 3: Cross multiply
    322,427.80x = 483,641.70 × 322,427.80
  4. Step 4: Simplify right side
    322,427.80x = 155,939,529,319.26
  5. Step 5: Solve for x
    x = 155,939,529,319.26/322,427.80
  6. Step 6: Final answer
    x = 483,641.70

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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.