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Finding the Fourth Proportional to 310,014.64, 464,903.92 and 183,690.54

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Solution

The fourth proportional to 310,014.64, 464,903.92 and 183,690.54 is: 275,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,014.64 : 464,903.92 = 183,690.54 : x
  2. Step 2: Convert to fraction form
    310,014.64/464,903.92 = 183,690.54/x
  3. Step 3: Cross multiply
    310,014.64x = 464,903.92 × 183,690.54
  4. Step 4: Simplify right side
    310,014.64x = 85,398,452,112.92
  5. Step 5: Solve for x
    x = 85,398,452,112.92/310,014.64
  6. Step 6: Final answer
    x = 275,465.87

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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.