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Finding the Fourth Proportional to 565,563, 780,481.74 and 310,908.60

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Solution

The fourth proportional to 565,563, 780,481.74 and 310,908.60 is: 429,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,563 : 780,481.74 = 310,908.60 : x
  2. Step 2: Convert to fraction form
    565,563/780,481.74 = 310,908.60/x
  3. Step 3: Cross multiply
    565,563x = 780,481.74 × 310,908.60
  4. Step 4: Simplify right side
    565,563x = 242,658,485,108.96
  5. Step 5: Solve for x
    x = 242,658,485,108.96/565,563
  6. Step 6: Final answer
    x = 429,056.51

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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.