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Finding the Fourth Proportional to 565,483.50, 780,368.85 and 323,769.78

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Solution

The fourth proportional to 565,483.50, 780,368.85 and 323,769.78 is: 446,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,483.50 : 780,368.85 = 323,769.78 : x
  2. Step 2: Convert to fraction form
    565,483.50/780,368.85 = 323,769.78/x
  3. Step 3: Cross multiply
    565,483.50x = 780,368.85 × 323,769.78
  4. Step 4: Simplify right side
    565,483.50x = 252,659,850,883.35
  5. Step 5: Solve for x
    x = 252,659,850,883.35/565,483.50
  6. Step 6: Final answer
    x = 446,803.22

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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.