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Finding the Fourth Proportional to 314,343.60, 471,629.48 and 194,260.60

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Solution

The fourth proportional to 314,343.60, 471,629.48 and 194,260.60 is: 291,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,343.60 : 471,629.48 = 194,260.60 : x
  2. Step 2: Convert to fraction form
    314,343.60/471,629.48 = 194,260.60/x
  3. Step 3: Cross multiply
    314,343.60x = 471,629.48 × 194,260.60
  4. Step 4: Simplify right side
    314,343.60x = 91,619,025,762.49
  5. Step 5: Solve for x
    x = 91,619,025,762.49/314,343.60
  6. Step 6: Final answer
    x = 291,461.40

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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.