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Finding the Fourth Proportional to 326,122.90, 489,184.35 and 314,313.10

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Solution

The fourth proportional to 326,122.90, 489,184.35 and 314,313.10 is: 471,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,122.90 : 489,184.35 = 314,313.10 : x
  2. Step 2: Convert to fraction form
    326,122.90/489,184.35 = 314,313.10/x
  3. Step 3: Cross multiply
    326,122.90x = 489,184.35 × 314,313.10
  4. Step 4: Simplify right side
    326,122.90x = 153,757,049,519.99
  5. Step 5: Solve for x
    x = 153,757,049,519.99/326,122.90
  6. Step 6: Final answer
    x = 471,469.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.