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Finding the Fourth Proportional to 536,494.60, 804,866.46 and 157,400.02

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Solution

The fourth proportional to 536,494.60, 804,866.46 and 157,400.02 is: 236,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,494.60 : 804,866.46 = 157,400.02 : x
  2. Step 2: Convert to fraction form
    536,494.60/804,866.46 = 157,400.02/x
  3. Step 3: Cross multiply
    536,494.60x = 804,866.46 × 157,400.02
  4. Step 4: Simplify right side
    536,494.60x = 126,685,996,901.33
  5. Step 5: Solve for x
    x = 126,685,996,901.33/536,494.60
  6. Step 6: Final answer
    x = 236,136.57

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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.