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Finding the Fourth Proportional to 374,928.38, 517,401.16 and 205,162.50

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Solution

The fourth proportional to 374,928.38, 517,401.16 and 205,162.50 is: 283,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,928.38 : 517,401.16 = 205,162.50 : x
  2. Step 2: Convert to fraction form
    374,928.38/517,401.16 = 205,162.50/x
  3. Step 3: Cross multiply
    374,928.38x = 517,401.16 × 205,162.50
  4. Step 4: Simplify right side
    374,928.38x = 106,151,315,488.50
  5. Step 5: Solve for x
    x = 106,151,315,488.50/374,928.38
  6. Step 6: Final answer
    x = 283,124.25

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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.