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Finding the Fourth Proportional to 430,073.49, 593,449.56 and 236,449.20

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Solution

The fourth proportional to 430,073.49, 593,449.56 and 236,449.20 is: 326,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,073.49 : 593,449.56 = 236,449.20 : x
  2. Step 2: Convert to fraction form
    430,073.49/593,449.56 = 236,449.20/x
  3. Step 3: Cross multiply
    430,073.49x = 593,449.56 × 236,449.20
  4. Step 4: Simplify right side
    430,073.49x = 140,320,673,702.35
  5. Step 5: Solve for x
    x = 140,320,673,702.35/430,073.49
  6. Step 6: Final answer
    x = 326,271.39

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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.