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Finding the Fourth Proportional to 525,408.25, 725,064.20 and 299,053.75

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Solution

The fourth proportional to 525,408.25, 725,064.20 and 299,053.75 is: 412,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,408.25 : 725,064.20 = 299,053.75 : x
  2. Step 2: Convert to fraction form
    525,408.25/725,064.20 = 299,053.75/x
  3. Step 3: Cross multiply
    525,408.25x = 725,064.20 × 299,053.75
  4. Step 4: Simplify right side
    525,408.25x = 216,833,168,000.75
  5. Step 5: Solve for x
    x = 216,833,168,000.75/525,408.25
  6. Step 6: Final answer
    x = 412,694.64

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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.