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Finding the Fourth Proportional to 569,928.84, 853,769.70 and 463,433

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Solution

The fourth proportional to 569,928.84, 853,769.70 and 463,433 is: 694,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,928.84 : 853,769.70 = 463,433 : x
  2. Step 2: Convert to fraction form
    569,928.84/853,769.70 = 463,433/x
  3. Step 3: Cross multiply
    569,928.84x = 853,769.70 × 463,433
  4. Step 4: Simplify right side
    569,928.84x = 395,665,053,380.10
  5. Step 5: Solve for x
    x = 395,665,053,380.10/569,928.84
  6. Step 6: Final answer
    x = 694,235.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.