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Finding the Fourth Proportional to 310,012.64, 464,900.93 and 183,688.54

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Solution

The fourth proportional to 310,012.64, 464,900.93 and 183,688.54 is: 275,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,012.64 : 464,900.93 = 183,688.54 : x
  2. Step 2: Convert to fraction form
    310,012.64/464,900.93 = 183,688.54/x
  3. Step 3: Cross multiply
    310,012.64x = 464,900.93 × 183,688.54
  4. Step 4: Simplify right side
    310,012.64x = 85,396,969,833.39
  5. Step 5: Solve for x
    x = 85,396,969,833.39/310,012.64
  6. Step 6: Final answer
    x = 275,462.86

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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.