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Finding the Fourth Proportional to 525,696.01, 725,459.85 and 283,978.53

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Solution

The fourth proportional to 525,696.01, 725,459.85 and 283,978.53 is: 391,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,696.01 : 725,459.85 = 283,978.53 : x
  2. Step 2: Convert to fraction form
    525,696.01/725,459.85 = 283,978.53/x
  3. Step 3: Cross multiply
    525,696.01x = 725,459.85 × 283,978.53
  4. Step 4: Simplify right side
    525,696.01x = 206,015,021,777.02
  5. Step 5: Solve for x
    x = 206,015,021,777.02/525,696.01
  6. Step 6: Final answer
    x = 391,890.03

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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.