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Finding the Fourth Proportional to 525,503.80, 725,195.94 and 299,149

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Solution

The fourth proportional to 525,503.80, 725,195.94 and 299,149 is: 412,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,503.80 : 725,195.94 = 299,149 : x
  2. Step 2: Convert to fraction form
    525,503.80/725,195.94 = 299,149/x
  3. Step 3: Cross multiply
    525,503.80x = 725,195.94 × 299,149
  4. Step 4: Simplify right side
    525,503.80x = 216,941,640,255.06
  5. Step 5: Solve for x
    x = 216,941,640,255.06/525,503.80
  6. Step 6: Final answer
    x = 412,826.02

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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.