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Finding the Fourth Proportional to 565,725.86, 780,636.23 and 323,994.02

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Solution

The fourth proportional to 565,725.86, 780,636.23 and 323,994.02 is: 447,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,725.86 : 780,636.23 = 323,994.02 : x
  2. Step 2: Convert to fraction form
    565,725.86/780,636.23 = 323,994.02/x
  3. Step 3: Cross multiply
    565,725.86x = 780,636.23 × 323,994.02
  4. Step 4: Simplify right side
    565,725.86x = 252,921,464,792.19
  5. Step 5: Solve for x
    x = 252,921,464,792.19/565,725.86
  6. Step 6: Final answer
    x = 447,074.25

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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.