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Finding the Fourth Proportional to 431,036.78, 646,554.74 and 115,485.08

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Solution

The fourth proportional to 431,036.78, 646,554.74 and 115,485.08 is: 173,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,036.78 : 646,554.74 = 115,485.08 : x
  2. Step 2: Convert to fraction form
    431,036.78/646,554.74 = 115,485.08/x
  3. Step 3: Cross multiply
    431,036.78x = 646,554.74 × 115,485.08
  4. Step 4: Simplify right side
    431,036.78x = 74,667,425,873.28
  5. Step 5: Solve for x
    x = 74,667,425,873.28/431,036.78
  6. Step 6: Final answer
    x = 173,227.50

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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.