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Finding the Fourth Proportional to 364,043.10, 546,064.65 and 331,383.90

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Solution

The fourth proportional to 364,043.10, 546,064.65 and 331,383.90 is: 497,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,043.10 : 546,064.65 = 331,383.90 : x
  2. Step 2: Convert to fraction form
    364,043.10/546,064.65 = 331,383.90/x
  3. Step 3: Cross multiply
    364,043.10x = 546,064.65 × 331,383.90
  4. Step 4: Simplify right side
    364,043.10x = 180,957,033,369.14
  5. Step 5: Solve for x
    x = 180,957,033,369.14/364,043.10
  6. Step 6: Final answer
    x = 497,075.85

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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.