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Finding the Fourth Proportional to 314,308.44, 433,744.32 and 171,068.64

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Solution

The fourth proportional to 314,308.44, 433,744.32 and 171,068.64 is: 236,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,308.44 : 433,744.32 = 171,068.64 : x
  2. Step 2: Convert to fraction form
    314,308.44/433,744.32 = 171,068.64/x
  3. Step 3: Cross multiply
    314,308.44x = 433,744.32 × 171,068.64
  4. Step 4: Simplify right side
    314,308.44x = 74,200,050,930.12
  5. Step 5: Solve for x
    x = 74,200,050,930.12/314,308.44
  6. Step 6: Final answer
    x = 236,074.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.