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Finding the Fourth Proportional to 290,471.40, 434,540.70 and 251,461.80

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Solution

The fourth proportional to 290,471.40, 434,540.70 and 251,461.80 is: 376,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,471.40 : 434,540.70 = 251,461.80 : x
  2. Step 2: Convert to fraction form
    290,471.40/434,540.70 = 251,461.80/x
  3. Step 3: Cross multiply
    290,471.40x = 434,540.70 × 251,461.80
  4. Step 4: Simplify right side
    290,471.40x = 109,270,386,595.26
  5. Step 5: Solve for x
    x = 109,270,386,595.26/290,471.40
  6. Step 6: Final answer
    x = 376,182.94

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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.