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Finding the Fourth Proportional to 525,453.50, 725,126.67 and 299,099.02

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Solution

The fourth proportional to 525,453.50, 725,126.67 and 299,099.02 is: 412,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,453.50 : 725,126.67 = 299,099.02 : x
  2. Step 2: Convert to fraction form
    525,453.50/725,126.67 = 299,099.02/x
  3. Step 3: Cross multiply
    525,453.50x = 725,126.67 × 299,099.02
  4. Step 4: Simplify right side
    525,453.50x = 216,884,676,372.86
  5. Step 5: Solve for x
    x = 216,884,676,372.86/525,453.50
  6. Step 6: Final answer
    x = 412,757.13

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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.