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Finding the Fourth Proportional to 401,024, 553,413.12 and 239,885.84

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Solution

The fourth proportional to 401,024, 553,413.12 and 239,885.84 is: 331,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,024 : 553,413.12 = 239,885.84 : x
  2. Step 2: Convert to fraction form
    401,024/553,413.12 = 239,885.84/x
  3. Step 3: Cross multiply
    401,024x = 553,413.12 × 239,885.84
  4. Step 4: Simplify right side
    401,024x = 132,755,971,158.22
  5. Step 5: Solve for x
    x = 132,755,971,158.22/401,024
  6. Step 6: Final answer
    x = 331,042.46

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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.