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Finding the Fourth Proportional to 465,461.39, 642,337.32 and 264,257.39

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Solution

The fourth proportional to 465,461.39, 642,337.32 and 264,257.39 is: 364,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,461.39 : 642,337.32 = 264,257.39 : x
  2. Step 2: Convert to fraction form
    465,461.39/642,337.32 = 264,257.39/x
  3. Step 3: Cross multiply
    465,461.39x = 642,337.32 × 264,257.39
  4. Step 4: Simplify right side
    465,461.39x = 169,742,383,682.80
  5. Step 5: Solve for x
    x = 169,742,383,682.80/465,461.39
  6. Step 6: Final answer
    x = 364,675.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.