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Finding the Fourth Proportional to 533,457.43, 736,438.95 and 412,324.97

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Solution

The fourth proportional to 533,457.43, 736,438.95 and 412,324.97 is: 569,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,457.43 : 736,438.95 = 412,324.97 : x
  2. Step 2: Convert to fraction form
    533,457.43/736,438.95 = 412,324.97/x
  3. Step 3: Cross multiply
    533,457.43x = 736,438.95 × 412,324.97
  4. Step 4: Simplify right side
    533,457.43x = 303,652,164,283.39
  5. Step 5: Solve for x
    x = 303,652,164,283.39/533,457.43
  6. Step 6: Final answer
    x = 569,215.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.