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Finding the Fourth Proportional to 413,392.32, 570,488.40 and 229,626

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Solution

The fourth proportional to 413,392.32, 570,488.40 and 229,626 is: 316,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,392.32 : 570,488.40 = 229,626 : x
  2. Step 2: Convert to fraction form
    413,392.32/570,488.40 = 229,626/x
  3. Step 3: Cross multiply
    413,392.32x = 570,488.40 × 229,626
  4. Step 4: Simplify right side
    413,392.32x = 130,998,969,338.40
  5. Step 5: Solve for x
    x = 130,998,969,338.40/413,392.32
  6. Step 6: Final answer
    x = 316,887.77

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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.