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Finding the Fourth Proportional to 565,924.50, 781,086.76 and 324,368.98

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Solution

The fourth proportional to 565,924.50, 781,086.76 and 324,368.98 is: 447,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,924.50 : 781,086.76 = 324,368.98 : x
  2. Step 2: Convert to fraction form
    565,924.50/781,086.76 = 324,368.98/x
  3. Step 3: Cross multiply
    565,924.50x = 781,086.76 × 324,368.98
  4. Step 4: Simplify right side
    565,924.50x = 253,360,315,632.71
  5. Step 5: Solve for x
    x = 253,360,315,632.71/565,924.50
  6. Step 6: Final answer
    x = 447,692.79

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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.