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Finding the Fourth Proportional to 651,614, 977,114.26 and 252,441.68

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Solution

The fourth proportional to 651,614, 977,114.26 and 252,441.68 is: 378,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,614 : 977,114.26 = 252,441.68 : x
  2. Step 2: Convert to fraction form
    651,614/977,114.26 = 252,441.68/x
  3. Step 3: Cross multiply
    651,614x = 977,114.26 × 252,441.68
  4. Step 4: Simplify right side
    651,614x = 246,664,365,346.36
  5. Step 5: Solve for x
    x = 246,664,365,346.36/651,614
  6. Step 6: Final answer
    x = 378,543.69

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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.