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Finding the Fourth Proportional to 461,523.80, 692,595.30 and 162,003.80

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Solution

The fourth proportional to 461,523.80, 692,595.30 and 162,003.80 is: 243,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,523.80 : 692,595.30 = 162,003.80 : x
  2. Step 2: Convert to fraction form
    461,523.80/692,595.30 = 162,003.80/x
  3. Step 3: Cross multiply
    461,523.80x = 692,595.30 × 162,003.80
  4. Step 4: Simplify right side
    461,523.80x = 112,203,070,462.14
  5. Step 5: Solve for x
    x = 112,203,070,462.14/461,523.80
  6. Step 6: Final answer
    x = 243,114.38

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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.