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Finding the Fourth Proportional to 310,529.70, 465,794.55 and 110,856.60

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Solution

The fourth proportional to 310,529.70, 465,794.55 and 110,856.60 is: 166,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,529.70 : 465,794.55 = 110,856.60 : x
  2. Step 2: Convert to fraction form
    310,529.70/465,794.55 = 110,856.60/x
  3. Step 3: Cross multiply
    310,529.70x = 465,794.55 × 110,856.60
  4. Step 4: Simplify right side
    310,529.70x = 51,636,400,111.53
  5. Step 5: Solve for x
    x = 51,636,400,111.53/310,529.70
  6. Step 6: Final answer
    x = 166,284.90

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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.