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Finding the Fourth Proportional to 497,427.60, 746,141.40 and 320,134.80

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Solution

The fourth proportional to 497,427.60, 746,141.40 and 320,134.80 is: 480,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,427.60 : 746,141.40 = 320,134.80 : x
  2. Step 2: Convert to fraction form
    497,427.60/746,141.40 = 320,134.80/x
  3. Step 3: Cross multiply
    497,427.60x = 746,141.40 × 320,134.80
  4. Step 4: Simplify right side
    497,427.60x = 238,865,827,860.72
  5. Step 5: Solve for x
    x = 238,865,827,860.72/497,427.60
  6. Step 6: Final answer
    x = 480,202.20

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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.