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Finding the Fourth Proportional to 565,928, 781,091.58 and 324,372.50

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Solution

The fourth proportional to 565,928, 781,091.58 and 324,372.50 is: 447,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,928 : 781,091.58 = 324,372.50 : x
  2. Step 2: Convert to fraction form
    565,928/781,091.58 = 324,372.50/x
  3. Step 3: Cross multiply
    565,928x = 781,091.58 × 324,372.50
  4. Step 4: Simplify right side
    565,928x = 253,364,628,533.55
  5. Step 5: Solve for x
    x = 253,364,628,533.55/565,928
  6. Step 6: Final answer
    x = 447,697.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.