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Finding the Fourth Proportional to 433,535.10, 650,205.45 and 284,819.10

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Solution

The fourth proportional to 433,535.10, 650,205.45 and 284,819.10 is: 427,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,535.10 : 650,205.45 = 284,819.10 : x
  2. Step 2: Convert to fraction form
    433,535.10/650,205.45 = 284,819.10/x
  3. Step 3: Cross multiply
    433,535.10x = 650,205.45 × 284,819.10
  4. Step 4: Simplify right side
    433,535.10x = 185,190,931,084.10
  5. Step 5: Solve for x
    x = 185,190,931,084.10/433,535.10
  6. Step 6: Final answer
    x = 427,164.79

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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.