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Finding the Fourth Proportional to 314,023.36, 433,348.05 and 170,780.32

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Solution

The fourth proportional to 314,023.36, 433,348.05 and 170,780.32 is: 235,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,023.36 : 433,348.05 = 170,780.32 : x
  2. Step 2: Convert to fraction form
    314,023.36/433,348.05 = 170,780.32/x
  3. Step 3: Cross multiply
    314,023.36x = 433,348.05 × 170,780.32
  4. Step 4: Simplify right side
    314,023.36x = 74,007,318,650.38
  5. Step 5: Solve for x
    x = 74,007,318,650.38/314,023.36
  6. Step 6: Final answer
    x = 235,674.56

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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.