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Finding the Fourth Proportional to 517,764.11, 714,514.09 and 302,945.58

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Solution

The fourth proportional to 517,764.11, 714,514.09 and 302,945.58 is: 418,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,764.11 : 714,514.09 = 302,945.58 : x
  2. Step 2: Convert to fraction form
    517,764.11/714,514.09 = 302,945.58/x
  3. Step 3: Cross multiply
    517,764.11x = 714,514.09 × 302,945.58
  4. Step 4: Simplify right side
    517,764.11x = 216,458,885,413.22
  5. Step 5: Solve for x
    x = 216,458,885,413.22/517,764.11
  6. Step 6: Final answer
    x = 418,064.68

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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.