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Finding the Fourth Proportional to 420,413.23, 580,018.62 and 323,646.67

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Solution

The fourth proportional to 420,413.23, 580,018.62 and 323,646.67 is: 446,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,413.23 : 580,018.62 = 323,646.67 : x
  2. Step 2: Convert to fraction form
    420,413.23/580,018.62 = 323,646.67/x
  3. Step 3: Cross multiply
    420,413.23x = 580,018.62 × 323,646.67
  4. Step 4: Simplify right side
    420,413.23x = 187,721,094,901.00
  5. Step 5: Solve for x
    x = 187,721,094,901.00/420,413.23
  6. Step 6: Final answer
    x = 446,515.67

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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.