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Finding the Fourth Proportional to 408,726.07, 564,119.98 and 270,661.64

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Solution

The fourth proportional to 408,726.07, 564,119.98 and 270,661.64 is: 373,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,726.07 : 564,119.98 = 270,661.64 : x
  2. Step 2: Convert to fraction form
    408,726.07/564,119.98 = 270,661.64/x
  3. Step 3: Cross multiply
    408,726.07x = 564,119.98 × 270,661.64
  4. Step 4: Simplify right side
    408,726.07x = 152,685,635,446.31
  5. Step 5: Solve for x
    x = 152,685,635,446.31/408,726.07
  6. Step 6: Final answer
    x = 373,564.71

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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.