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Finding the Fourth Proportional to 307,571.76, 461,782.60 and 212,567.87

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Solution

The fourth proportional to 307,571.76, 461,782.60 and 212,567.87 is: 319,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,571.76 : 461,782.60 = 212,567.87 : x
  2. Step 2: Convert to fraction form
    307,571.76/461,782.60 = 212,567.87/x
  3. Step 3: Cross multiply
    307,571.76x = 461,782.60 × 212,567.87
  4. Step 4: Simplify right side
    307,571.76x = 98,160,144,308.10
  5. Step 5: Solve for x
    x = 98,160,144,308.10/307,571.76
  6. Step 6: Final answer
    x = 319,145.50

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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.