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Finding the Fourth Proportional to 307,894.90, 430,003.10 and 307,894.90

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Solution

The fourth proportional to 307,894.90, 430,003.10 and 307,894.90 is: 430,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,894.90 : 430,003.10 = 307,894.90 : x
  2. Step 2: Convert to fraction form
    307,894.90/430,003.10 = 307,894.90/x
  3. Step 3: Cross multiply
    307,894.90x = 430,003.10 × 307,894.90
  4. Step 4: Simplify right side
    307,894.90x = 132,395,761,474.19
  5. Step 5: Solve for x
    x = 132,395,761,474.19/307,894.90
  6. Step 6: Final answer
    x = 430,003.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.