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Finding the Fourth Proportional to 361,795.35, 499,307.52 and 200,702.45

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Solution

The fourth proportional to 361,795.35, 499,307.52 and 200,702.45 is: 276,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,795.35 : 499,307.52 = 200,702.45 : x
  2. Step 2: Convert to fraction form
    361,795.35/499,307.52 = 200,702.45/x
  3. Step 3: Cross multiply
    361,795.35x = 499,307.52 × 200,702.45
  4. Step 4: Simplify right side
    361,795.35x = 100,212,242,567.42
  5. Step 5: Solve for x
    x = 100,212,242,567.42/361,795.35
  6. Step 6: Final answer
    x = 276,985.99

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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.