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Finding the Fourth Proportional to 493,968, 681,687.72 and 302,870.64

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Solution

The fourth proportional to 493,968, 681,687.72 and 302,870.64 is: 417,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,968 : 681,687.72 = 302,870.64 : x
  2. Step 2: Convert to fraction form
    493,968/681,687.72 = 302,870.64/x
  3. Step 3: Cross multiply
    493,968x = 681,687.72 × 302,870.64
  4. Step 4: Simplify right side
    493,968x = 206,463,196,036.54
  5. Step 5: Solve for x
    x = 206,463,196,036.54/493,968
  6. Step 6: Final answer
    x = 417,968.77

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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.