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Finding the Fourth Proportional to 321,413.30, 443,547.87 and 176,217.34

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Solution

The fourth proportional to 321,413.30, 443,547.87 and 176,217.34 is: 243,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413.30 : 443,547.87 = 176,217.34 : x
  2. Step 2: Convert to fraction form
    321,413.30/443,547.87 = 176,217.34/x
  3. Step 3: Cross multiply
    321,413.30x = 443,547.87 × 176,217.34
  4. Step 4: Simplify right side
    321,413.30x = 78,160,825,814.07
  5. Step 5: Solve for x
    x = 78,160,825,814.07/321,413.30
  6. Step 6: Final answer
    x = 243,178.57

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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.