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Finding the Fourth Proportional to 525,697.56, 725,461.92 and 299,343.06

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Solution

The fourth proportional to 525,697.56, 725,461.92 and 299,343.06 is: 413,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,697.56 : 725,461.92 = 299,343.06 : x
  2. Step 2: Convert to fraction form
    525,697.56/725,461.92 = 299,343.06/x
  3. Step 3: Cross multiply
    525,697.56x = 725,461.92 × 299,343.06
  4. Step 4: Simplify right side
    525,697.56x = 217,161,991,046.28
  5. Step 5: Solve for x
    x = 217,161,991,046.28/525,697.56
  6. Step 6: Final answer
    x = 413,093.02

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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.