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Finding the Fourth Proportional to 420,223.47, 579,907.64 and 229,236.81

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Solution

The fourth proportional to 420,223.47, 579,907.64 and 229,236.81 is: 316,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,223.47 : 579,907.64 = 229,236.81 : x
  2. Step 2: Convert to fraction form
    420,223.47/579,907.64 = 229,236.81/x
  3. Step 3: Cross multiply
    420,223.47x = 579,907.64 × 229,236.81
  4. Step 4: Simplify right side
    420,223.47x = 132,936,176,342.04
  5. Step 5: Solve for x
    x = 132,936,176,342.04/420,223.47
  6. Step 6: Final answer
    x = 316,346.39

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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.