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Finding the Fourth Proportional to 422,595.43, 583,180.52 and 229,008.50

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Solution

The fourth proportional to 422,595.43, 583,180.52 and 229,008.50 is: 316,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,595.43 : 583,180.52 = 229,008.50 : x
  2. Step 2: Convert to fraction form
    422,595.43/583,180.52 = 229,008.50/x
  3. Step 3: Cross multiply
    422,595.43x = 583,180.52 × 229,008.50
  4. Step 4: Simplify right side
    422,595.43x = 133,553,296,114.42
  5. Step 5: Solve for x
    x = 133,553,296,114.42/422,595.43
  6. Step 6: Final answer
    x = 316,031.10

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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.