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Finding the Fourth Proportional to 384,927.30, 576,297.45 and 363,980.70

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Solution

The fourth proportional to 384,927.30, 576,297.45 and 363,980.70 is: 544,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,927.30 : 576,297.45 = 363,980.70 : x
  2. Step 2: Convert to fraction form
    384,927.30/576,297.45 = 363,980.70/x
  3. Step 3: Cross multiply
    384,927.30x = 576,297.45 × 363,980.70
  4. Step 4: Simplify right side
    384,927.30x = 209,761,149,259.22
  5. Step 5: Solve for x
    x = 209,761,149,259.22/384,927.30
  6. Step 6: Final answer
    x = 544,937.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.