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Finding the Fourth Proportional to 406,454.22, 610,784.40 and 217,046.34

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Solution

The fourth proportional to 406,454.22, 610,784.40 and 217,046.34 is: 326,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,454.22 : 610,784.40 = 217,046.34 : x
  2. Step 2: Convert to fraction form
    406,454.22/610,784.40 = 217,046.34/x
  3. Step 3: Cross multiply
    406,454.22x = 610,784.40 × 217,046.34
  4. Step 4: Simplify right side
    406,454.22x = 132,568,518,549.10
  5. Step 5: Solve for x
    x = 132,568,518,549.10/406,454.22
  6. Step 6: Final answer
    x = 326,158.55

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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.