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Finding the Fourth Proportional to 312,622.28, 468,173.10 and 146,457.80

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Solution

The fourth proportional to 312,622.28, 468,173.10 and 146,457.80 is: 219,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,622.28 : 468,173.10 = 146,457.80 : x
  2. Step 2: Convert to fraction form
    312,622.28/468,173.10 = 146,457.80/x
  3. Step 3: Cross multiply
    312,622.28x = 468,173.10 × 146,457.80
  4. Step 4: Simplify right side
    312,622.28x = 68,567,602,245.18
  5. Step 5: Solve for x
    x = 68,567,602,245.18/312,622.28
  6. Step 6: Final answer
    x = 219,330.50

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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.