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Finding the Fourth Proportional to 420,225.05, 579,909.38 and 229,237.08

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Solution

The fourth proportional to 420,225.05, 579,909.38 and 229,237.08 is: 316,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,225.05 : 579,909.38 = 229,237.08 : x
  2. Step 2: Convert to fraction form
    420,225.05/579,909.38 = 229,237.08/x
  3. Step 3: Cross multiply
    420,225.05x = 579,909.38 × 229,237.08
  4. Step 4: Simplify right side
    420,225.05x = 132,936,731,789.63
  5. Step 5: Solve for x
    x = 132,936,731,789.63/420,225.05
  6. Step 6: Final answer
    x = 316,346.52

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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.