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Finding the Fourth Proportional to 307,916.40, 430,033.20 and 307,916.40

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Solution

The fourth proportional to 307,916.40, 430,033.20 and 307,916.40 is: 430,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,916.40 : 430,033.20 = 307,916.40 : x
  2. Step 2: Convert to fraction form
    307,916.40/430,033.20 = 307,916.40/x
  3. Step 3: Cross multiply
    307,916.40x = 430,033.20 × 307,916.40
  4. Step 4: Simplify right side
    307,916.40x = 132,414,274,824.48
  5. Step 5: Solve for x
    x = 132,414,274,824.48/307,916.40
  6. Step 6: Final answer
    x = 430,033.20

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1.5x scale

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.