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Finding the Fourth Proportional to 318,867.60, 478,328.93 and 82,208.28

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Solution

The fourth proportional to 318,867.60, 478,328.93 and 82,208.28 is: 123,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,867.60 : 478,328.93 = 82,208.28 : x
  2. Step 2: Convert to fraction form
    318,867.60/478,328.93 = 82,208.28/x
  3. Step 3: Cross multiply
    318,867.60x = 478,328.93 × 82,208.28
  4. Step 4: Simplify right side
    318,867.60x = 39,322,598,815.06
  5. Step 5: Solve for x
    x = 39,322,598,815.06/318,867.60
  6. Step 6: Final answer
    x = 123,319.52

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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.