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Finding the Fourth Proportional to 536,509.51, 804,772.46 and 137,141.44

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Solution

The fourth proportional to 536,509.51, 804,772.46 and 137,141.44 is: 205,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,509.51 : 804,772.46 = 137,141.44 : x
  2. Step 2: Convert to fraction form
    536,509.51/804,772.46 = 137,141.44/x
  3. Step 3: Cross multiply
    536,509.51x = 804,772.46 × 137,141.44
  4. Step 4: Simplify right side
    536,509.51x = 110,367,652,367.67
  5. Step 5: Solve for x
    x = 110,367,652,367.67/536,509.51
  6. Step 6: Final answer
    x = 205,714.25

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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.