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Finding the Fourth Proportional to 525,408.75, 725,064.89 and 299,054.25

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Solution

The fourth proportional to 525,408.75, 725,064.89 and 299,054.25 is: 412,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,408.75 : 725,064.89 = 299,054.25 : x
  2. Step 2: Convert to fraction form
    525,408.75/725,064.89 = 299,054.25/x
  3. Step 3: Cross multiply
    525,408.75x = 725,064.89 × 299,054.25
  4. Step 4: Simplify right side
    525,408.75x = 216,833,735,385.01
  5. Step 5: Solve for x
    x = 216,833,735,385.01/525,408.75
  6. Step 6: Final answer
    x = 412,695.33

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Double scale
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Similar ratio
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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.