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Finding the Fourth Proportional to 312,655.14, 468,749.43 and 146,404.26

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Solution

The fourth proportional to 312,655.14, 468,749.43 and 146,404.26 is: 219,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,655.14 : 468,749.43 = 146,404.26 : x
  2. Step 2: Convert to fraction form
    312,655.14/468,749.43 = 146,404.26/x
  3. Step 3: Cross multiply
    312,655.14x = 468,749.43 × 146,404.26
  4. Step 4: Simplify right side
    312,655.14x = 68,626,913,424.57
  5. Step 5: Solve for x
    x = 68,626,913,424.57/312,655.14
  6. Step 6: Final answer
    x = 219,497.15

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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.