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Finding the Fourth Proportional to 366,726.76, 506,124.90 and 205,625.32

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Solution

The fourth proportional to 366,726.76, 506,124.90 and 205,625.32 is: 283,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,726.76 : 506,124.90 = 205,625.32 : x
  2. Step 2: Convert to fraction form
    366,726.76/506,124.90 = 205,625.32/x
  3. Step 3: Cross multiply
    366,726.76x = 506,124.90 × 205,625.32
  4. Step 4: Simplify right side
    366,726.76x = 104,072,094,522.47
  5. Step 5: Solve for x
    x = 104,072,094,522.47/366,726.76
  6. Step 6: Final answer
    x = 283,786.48

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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.