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Finding the Fourth Proportional to 359,726, 496,421.88 and 200,750

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Solution

The fourth proportional to 359,726, 496,421.88 and 200,750 is: 277,035

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,726 : 496,421.88 = 200,750 : x
  2. Step 2: Convert to fraction form
    359,726/496,421.88 = 200,750/x
  3. Step 3: Cross multiply
    359,726x = 496,421.88 × 200,750
  4. Step 4: Simplify right side
    359,726x = 99,656,692,410
  5. Step 5: Solve for x
    x = 99,656,692,410/359,726
  6. Step 6: Final answer
    x = 277,035

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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.