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Finding the Fourth Proportional to 648,645.46, 972,971.66 and 425,419.48

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Solution

The fourth proportional to 648,645.46, 972,971.66 and 425,419.48 is: 638,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,645.46 : 972,971.66 = 425,419.48 : x
  2. Step 2: Convert to fraction form
    648,645.46/972,971.66 = 425,419.48/x
  3. Step 3: Cross multiply
    648,645.46x = 972,971.66 × 425,419.48
  4. Step 4: Simplify right side
    648,645.46x = 413,921,099,847.27
  5. Step 5: Solve for x
    x = 413,921,099,847.27/648,645.46
  6. Step 6: Final answer
    x = 638,131.50

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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.