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Finding the Fourth Proportional to 314,164.40, 471,246.60 and 164,346.80

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Solution

The fourth proportional to 314,164.40, 471,246.60 and 164,346.80 is: 246,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,164.40 : 471,246.60 = 164,346.80 : x
  2. Step 2: Convert to fraction form
    314,164.40/471,246.60 = 164,346.80/x
  3. Step 3: Cross multiply
    314,164.40x = 471,246.60 × 164,346.80
  4. Step 4: Simplify right side
    314,164.40x = 77,447,870,720.88
  5. Step 5: Solve for x
    x = 77,447,870,720.88/314,164.40
  6. Step 6: Final answer
    x = 246,520.20

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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.