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Finding the Fourth Proportional to 433,898.20, 650,847.30 and 184,547.80

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Solution

The fourth proportional to 433,898.20, 650,847.30 and 184,547.80 is: 276,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,898.20 : 650,847.30 = 184,547.80 : x
  2. Step 2: Convert to fraction form
    433,898.20/650,847.30 = 184,547.80/x
  3. Step 3: Cross multiply
    433,898.20x = 650,847.30 × 184,547.80
  4. Step 4: Simplify right side
    433,898.20x = 120,112,437,350.94
  5. Step 5: Solve for x
    x = 120,112,437,350.94/433,898.20
  6. Step 6: Final answer
    x = 276,821.70

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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.