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Finding the Fourth Proportional to 507,289.88, 760,993.14 and 296,929.64

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Solution

The fourth proportional to 507,289.88, 760,993.14 and 296,929.64 is: 445,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,289.88 : 760,993.14 = 296,929.64 : x
  2. Step 2: Convert to fraction form
    507,289.88/760,993.14 = 296,929.64/x
  3. Step 3: Cross multiply
    507,289.88x = 760,993.14 × 296,929.64
  4. Step 4: Simplify right side
    507,289.88x = 225,961,419,102.67
  5. Step 5: Solve for x
    x = 225,961,419,102.67/507,289.88
  6. Step 6: Final answer
    x = 445,428.60

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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.