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Finding the Fourth Proportional to 406,714.40, 610,417.20 and 327,917.60

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Solution

The fourth proportional to 406,714.40, 610,417.20 and 327,917.60 is: 492,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,714.40 : 610,417.20 = 327,917.60 : x
  2. Step 2: Convert to fraction form
    406,714.40/610,417.20 = 327,917.60/x
  3. Step 3: Cross multiply
    406,714.40x = 610,417.20 × 327,917.60
  4. Step 4: Simplify right side
    406,714.40x = 200,166,543,222.72
  5. Step 5: Solve for x
    x = 200,166,543,222.72/406,714.40
  6. Step 6: Final answer
    x = 492,155.04

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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.