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Finding the Fourth Proportional to 307,968.40, 430,106 and 307,968.40

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Solution

The fourth proportional to 307,968.40, 430,106 and 307,968.40 is: 430,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968.40 : 430,106 = 307,968.40 : x
  2. Step 2: Convert to fraction form
    307,968.40/430,106 = 307,968.40/x
  3. Step 3: Cross multiply
    307,968.40x = 430,106 × 307,968.40
  4. Step 4: Simplify right side
    307,968.40x = 132,459,056,650.40
  5. Step 5: Solve for x
    x = 132,459,056,650.40/307,968.40
  6. Step 6: Final answer
    x = 430,106

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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.