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Finding the Fourth Proportional to 465,404.10, 642,187.68 and 261,415.94

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Solution

The fourth proportional to 465,404.10, 642,187.68 and 261,415.94 is: 360,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,404.10 : 642,187.68 = 261,415.94 : x
  2. Step 2: Convert to fraction form
    465,404.10/642,187.68 = 261,415.94/x
  3. Step 3: Cross multiply
    465,404.10x = 642,187.68 × 261,415.94
  4. Step 4: Simplify right side
    465,404.10x = 167,878,096,023.62
  5. Step 5: Solve for x
    x = 167,878,096,023.62/465,404.10
  6. Step 6: Final answer
    x = 360,714.69

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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.