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Finding the Fourth Proportional to 310,950.14, 466,406.66 and 182,938.34

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Solution

The fourth proportional to 310,950.14, 466,406.66 and 182,938.34 is: 274,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,950.14 : 466,406.66 = 182,938.34 : x
  2. Step 2: Convert to fraction form
    310,950.14/466,406.66 = 182,938.34/x
  3. Step 3: Cross multiply
    310,950.14x = 466,406.66 × 182,938.34
  4. Step 4: Simplify right side
    310,950.14x = 85,323,660,145.34
  5. Step 5: Solve for x
    x = 85,323,660,145.34/310,950.14
  6. Step 6: Final answer
    x = 274,396.60

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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.