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Finding the Fourth Proportional to 411,464.01, 617,191.56 and 312,233.61

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Solution

The fourth proportional to 411,464.01, 617,191.56 and 312,233.61 is: 468,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,464.01 : 617,191.56 = 312,233.61 : x
  2. Step 2: Convert to fraction form
    411,464.01/617,191.56 = 312,233.61/x
  3. Step 3: Cross multiply
    411,464.01x = 617,191.56 × 312,233.61
  4. Step 4: Simplify right side
    411,464.01x = 192,707,948,840.33
  5. Step 5: Solve for x
    x = 192,707,948,840.33/411,464.01
  6. Step 6: Final answer
    x = 468,347.03

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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.