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Finding the Fourth Proportional to 415,964.58, 574,030.44 and 234,676.05

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Solution

The fourth proportional to 415,964.58, 574,030.44 and 234,676.05 is: 323,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,964.58 : 574,030.44 = 234,676.05 : x
  2. Step 2: Convert to fraction form
    415,964.58/574,030.44 = 234,676.05/x
  3. Step 3: Cross multiply
    415,964.58x = 574,030.44 × 234,676.05
  4. Step 4: Simplify right side
    415,964.58x = 134,711,196,238.96
  5. Step 5: Solve for x
    x = 134,711,196,238.96/415,964.58
  6. Step 6: Final answer
    x = 323,852.57

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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.