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Finding the Fourth Proportional to 565,466.36, 780,344.16 and 310,812.08

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Solution

The fourth proportional to 565,466.36, 780,344.16 and 310,812.08 is: 428,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,466.36 : 780,344.16 = 310,812.08 : x
  2. Step 2: Convert to fraction form
    565,466.36/780,344.16 = 310,812.08/x
  3. Step 3: Cross multiply
    565,466.36x = 780,344.16 × 310,812.08
  4. Step 4: Simplify right side
    565,466.36x = 242,540,391,485.45
  5. Step 5: Solve for x
    x = 242,540,391,485.45/565,466.36
  6. Step 6: Final answer
    x = 428,920.99

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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.