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Finding the Fourth Proportional to 565,716, 780,465.41 and 323,868.21

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Solution

The fourth proportional to 565,716, 780,465.41 and 323,868.21 is: 446,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,716 : 780,465.41 = 323,868.21 : x
  2. Step 2: Convert to fraction form
    565,716/780,465.41 = 323,868.21/x
  3. Step 3: Cross multiply
    565,716x = 780,465.41 × 323,868.21
  4. Step 4: Simplify right side
    565,716x = 252,767,933,684.28
  5. Step 5: Solve for x
    x = 252,767,933,684.28/565,716
  6. Step 6: Final answer
    x = 446,810.65

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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.