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Finding the Fourth Proportional to 524,663.01, 786,906.48 and 145,622.25

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Solution

The fourth proportional to 524,663.01, 786,906.48 and 145,622.25 is: 218,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,663.01 : 786,906.48 = 145,622.25 : x
  2. Step 2: Convert to fraction form
    524,663.01/786,906.48 = 145,622.25/x
  3. Step 3: Cross multiply
    524,663.01x = 786,906.48 × 145,622.25
  4. Step 4: Simplify right side
    524,663.01x = 114,591,091,254.06
  5. Step 5: Solve for x
    x = 114,591,091,254.06/524,663.01
  6. Step 6: Final answer
    x = 218,408.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.