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Finding the Fourth Proportional to 413,375.32, 570,464.94 and 229,609

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Solution

The fourth proportional to 413,375.32, 570,464.94 and 229,609 is: 316,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,375.32 : 570,464.94 = 229,609 : x
  2. Step 2: Convert to fraction form
    413,375.32/570,464.94 = 229,609/x
  3. Step 3: Cross multiply
    413,375.32x = 570,464.94 × 229,609
  4. Step 4: Simplify right side
    413,375.32x = 130,983,884,408.46
  5. Step 5: Solve for x
    x = 130,983,884,408.46/413,375.32
  6. Step 6: Final answer
    x = 316,864.31

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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.