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Finding the Fourth Proportional to 497,405.40, 746,108.10 and 347,814.60

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Solution

The fourth proportional to 497,405.40, 746,108.10 and 347,814.60 is: 521,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,405.40 : 746,108.10 = 347,814.60 : x
  2. Step 2: Convert to fraction form
    497,405.40/746,108.10 = 347,814.60/x
  3. Step 3: Cross multiply
    497,405.40x = 746,108.10 × 347,814.60
  4. Step 4: Simplify right side
    497,405.40x = 259,507,290,358.26
  5. Step 5: Solve for x
    x = 259,507,290,358.26/497,405.40
  6. Step 6: Final answer
    x = 521,721.90

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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.