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Finding the Fourth Proportional to 432,050.70, 646,942.05 and 305,004.90

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Solution

The fourth proportional to 432,050.70, 646,942.05 and 305,004.90 is: 456,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,050.70 : 646,942.05 = 305,004.90 : x
  2. Step 2: Convert to fraction form
    432,050.70/646,942.05 = 305,004.90/x
  3. Step 3: Cross multiply
    432,050.70x = 646,942.05 × 305,004.90
  4. Step 4: Simplify right side
    432,050.70x = 197,320,495,266.05
  5. Step 5: Solve for x
    x = 197,320,495,266.05/432,050.70
  6. Step 6: Final answer
    x = 456,706.81

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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.