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Finding the Fourth Proportional to 406,676.31, 610,091.19 and 154,032.45

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Solution

The fourth proportional to 406,676.31, 610,091.19 and 154,032.45 is: 231,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,676.31 : 610,091.19 = 154,032.45 : x
  2. Step 2: Convert to fraction form
    406,676.31/610,091.19 = 154,032.45/x
  3. Step 3: Cross multiply
    406,676.31x = 610,091.19 × 154,032.45
  4. Step 4: Simplify right side
    406,676.31x = 93,973,840,719.12
  5. Step 5: Solve for x
    x = 93,973,840,719.12/406,676.31
  6. Step 6: Final answer
    x = 231,077.74

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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.