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Finding the Fourth Proportional to 403,678.58, 557,154.67 and 231,698.37

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Solution

The fourth proportional to 403,678.58, 557,154.67 and 231,698.37 is: 319,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,678.58 : 557,154.67 = 231,698.37 : x
  2. Step 2: Convert to fraction form
    403,678.58/557,154.67 = 231,698.37/x
  3. Step 3: Cross multiply
    403,678.58x = 557,154.67 × 231,698.37
  4. Step 4: Simplify right side
    403,678.58x = 129,091,828,876.89
  5. Step 5: Solve for x
    x = 129,091,828,876.89/403,678.58
  6. Step 6: Final answer
    x = 319,788.65

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