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Finding the Fourth Proportional to 594,932.40, 892,400.40 and 418,230

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Solution

The fourth proportional to 594,932.40, 892,400.40 and 418,230 is: 627,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,932.40 : 892,400.40 = 418,230 : x
  2. Step 2: Convert to fraction form
    594,932.40/892,400.40 = 418,230/x
  3. Step 3: Cross multiply
    594,932.40x = 892,400.40 × 418,230
  4. Step 4: Simplify right side
    594,932.40x = 373,228,619,292
  5. Step 5: Solve for x
    x = 373,228,619,292/594,932.40
  6. Step 6: Final answer
    x = 627,346.27

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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.