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Finding the Fourth Proportional to 374,820.75, 517,252.77 and 205,058.52

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Solution

The fourth proportional to 374,820.75, 517,252.77 and 205,058.52 is: 282,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,820.75 : 517,252.77 = 205,058.52 : x
  2. Step 2: Convert to fraction form
    374,820.75/517,252.77 = 205,058.52/x
  3. Step 3: Cross multiply
    374,820.75x = 517,252.77 × 205,058.52
  4. Step 4: Simplify right side
    374,820.75x = 106,067,087,482.10
  5. Step 5: Solve for x
    x = 106,067,087,482.10/374,820.75
  6. Step 6: Final answer
    x = 282,980.83

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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.