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Finding the Fourth Proportional to 433,950.60, 650,828.70 and 285,234.60

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Solution

The fourth proportional to 433,950.60, 650,828.70 and 285,234.60 is: 427,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,950.60 : 650,828.70 = 285,234.60 : x
  2. Step 2: Convert to fraction form
    433,950.60/650,828.70 = 285,234.60/x
  3. Step 3: Cross multiply
    433,950.60x = 650,828.70 × 285,234.60
  4. Step 4: Simplify right side
    433,950.60x = 185,638,863,913.02
  5. Step 5: Solve for x
    x = 185,638,863,913.02/433,950.60
  6. Step 6: Final answer
    x = 427,788.01

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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.