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Finding the Fourth Proportional to 461,840.80, 692,761.20 and 320,123.20

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Solution

The fourth proportional to 461,840.80, 692,761.20 and 320,123.20 is: 480,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,840.80 : 692,761.20 = 320,123.20 : x
  2. Step 2: Convert to fraction form
    461,840.80/692,761.20 = 320,123.20/x
  3. Step 3: Cross multiply
    461,840.80x = 692,761.20 × 320,123.20
  4. Step 4: Simplify right side
    461,840.80x = 221,768,932,179.84
  5. Step 5: Solve for x
    x = 221,768,932,179.84/461,840.80
  6. Step 6: Final answer
    x = 480,184.80

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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.