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Finding the Fourth Proportional to 594,645.40, 892,104.30 and 257,742.60

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Solution

The fourth proportional to 594,645.40, 892,104.30 and 257,742.60 is: 386,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,645.40 : 892,104.30 = 257,742.60 : x
  2. Step 2: Convert to fraction form
    594,645.40/892,104.30 = 257,742.60/x
  3. Step 3: Cross multiply
    594,645.40x = 892,104.30 × 257,742.60
  4. Step 4: Simplify right side
    594,645.40x = 229,933,281,753.18
  5. Step 5: Solve for x
    x = 229,933,281,753.18/594,645.40
  6. Step 6: Final answer
    x = 386,672.93

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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.