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Finding the Fourth Proportional to 374,813.85, 517,255.30 and 205,047.98

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Solution

The fourth proportional to 374,813.85, 517,255.30 and 205,047.98 is: 282,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,813.85 : 517,255.30 = 205,047.98 : x
  2. Step 2: Convert to fraction form
    374,813.85/517,255.30 = 205,047.98/x
  3. Step 3: Cross multiply
    374,813.85x = 517,255.30 × 205,047.98
  4. Step 4: Simplify right side
    374,813.85x = 106,062,154,409.29
  5. Step 5: Solve for x
    x = 106,062,154,409.29/374,813.85
  6. Step 6: Final answer
    x = 282,972.88

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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.