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Finding the Fourth Proportional to 651,951.68, 977,362.14 and 252,317.36

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Solution

The fourth proportional to 651,951.68, 977,362.14 and 252,317.36 is: 378,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,951.68 : 977,362.14 = 252,317.36 : x
  2. Step 2: Convert to fraction form
    651,951.68/977,362.14 = 252,317.36/x
  3. Step 3: Cross multiply
    651,951.68x = 977,362.14 × 252,317.36
  4. Step 4: Simplify right side
    651,951.68x = 246,605,434,928.75
  5. Step 5: Solve for x
    x = 246,605,434,928.75/651,951.68
  6. Step 6: Final answer
    x = 378,257.23

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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.