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Finding the Fourth Proportional to 525,546.80, 725,255.28 and 299,192

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Solution

The fourth proportional to 525,546.80, 725,255.28 and 299,192 is: 412,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,546.80 : 725,255.28 = 299,192 : x
  2. Step 2: Convert to fraction form
    525,546.80/725,255.28 = 299,192/x
  3. Step 3: Cross multiply
    525,546.80x = 725,255.28 × 299,192
  4. Step 4: Simplify right side
    525,546.80x = 216,990,577,733.76
  5. Step 5: Solve for x
    x = 216,990,577,733.76/525,546.80
  6. Step 6: Final answer
    x = 412,885.36

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