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Finding the Fourth Proportional to 288,576.31, 432,864.46 and 78,214.25

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Solution

The fourth proportional to 288,576.31, 432,864.46 and 78,214.25 is: 117,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,576.31 : 432,864.46 = 78,214.25 : x
  2. Step 2: Convert to fraction form
    288,576.31/432,864.46 = 78,214.25/x
  3. Step 3: Cross multiply
    288,576.31x = 432,864.46 × 78,214.25
  4. Step 4: Simplify right side
    288,576.31x = 33,856,169,090.56
  5. Step 5: Solve for x
    x = 33,856,169,090.56/288,576.31
  6. Step 6: Final answer
    x = 117,321.37

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1.5x scale

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.