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Finding the Fourth Proportional to 329,015.56, 493,727.46 and 151,547.80

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Solution

The fourth proportional to 329,015.56, 493,727.46 and 151,547.80 is: 227,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,015.56 : 493,727.46 = 151,547.80 : x
  2. Step 2: Convert to fraction form
    329,015.56/493,727.46 = 151,547.80/x
  3. Step 3: Cross multiply
    329,015.56x = 493,727.46 × 151,547.80
  4. Step 4: Simplify right side
    329,015.56x = 74,823,310,362.59
  5. Step 5: Solve for x
    x = 74,823,310,362.59/329,015.56
  6. Step 6: Final answer
    x = 227,415.72

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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.