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Finding the Fourth Proportional to 497,199.34, 686,131.50 and 270,844.84

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Solution

The fourth proportional to 497,199.34, 686,131.50 and 270,844.84 is: 373,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,199.34 : 686,131.50 = 270,844.84 : x
  2. Step 2: Convert to fraction form
    497,199.34/686,131.50 = 270,844.84/x
  3. Step 3: Cross multiply
    497,199.34x = 686,131.50 × 270,844.84
  4. Step 4: Simplify right side
    497,199.34x = 185,835,176,336.46
  5. Step 5: Solve for x
    x = 185,835,176,336.46/497,199.34
  6. Step 6: Final answer
    x = 373,763.92

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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.