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Finding the Fourth Proportional to 403,213.80, 604,820.70 and 298,237.80

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Solution

The fourth proportional to 403,213.80, 604,820.70 and 298,237.80 is: 447,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,213.80 : 604,820.70 = 298,237.80 : x
  2. Step 2: Convert to fraction form
    403,213.80/604,820.70 = 298,237.80/x
  3. Step 3: Cross multiply
    403,213.80x = 604,820.70 × 298,237.80
  4. Step 4: Simplify right side
    403,213.80x = 180,380,394,962.46
  5. Step 5: Solve for x
    x = 180,380,394,962.46/403,213.80
  6. Step 6: Final answer
    x = 447,356.70

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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.