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Finding the Fourth Proportional to 312,403.20, 468,328.32 and 146,146.56

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Solution

The fourth proportional to 312,403.20, 468,328.32 and 146,146.56 is: 219,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,403.20 : 468,328.32 = 146,146.56 : x
  2. Step 2: Convert to fraction form
    312,403.20/468,328.32 = 146,146.56/x
  3. Step 3: Cross multiply
    312,403.20x = 468,328.32 × 146,146.56
  4. Step 4: Simplify right side
    312,403.20x = 68,444,572,918.58
  5. Step 5: Solve for x
    x = 68,444,572,918.58/312,403.20
  6. Step 6: Final answer
    x = 219,090.50

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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.