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Finding the Fourth Proportional to 465,122.10, 641,860.32 and 261,174.63

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Solution

The fourth proportional to 465,122.10, 641,860.32 and 261,174.63 is: 360,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,122.10 : 641,860.32 = 261,174.63 : x
  2. Step 2: Convert to fraction form
    465,122.10/641,860.32 = 261,174.63/x
  3. Step 3: Cross multiply
    465,122.10x = 641,860.32 × 261,174.63
  4. Step 4: Simplify right side
    465,122.10x = 167,637,631,587.68
  5. Step 5: Solve for x
    x = 167,637,631,587.68/465,122.10
  6. Step 6: Final answer
    x = 360,416.40

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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.