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Finding the Fourth Proportional to 497,163.60, 746,004.60 and 216,709.20

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Solution

The fourth proportional to 497,163.60, 746,004.60 and 216,709.20 is: 325,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,163.60 : 746,004.60 = 216,709.20 : x
  2. Step 2: Convert to fraction form
    497,163.60/746,004.60 = 216,709.20/x
  3. Step 3: Cross multiply
    497,163.60x = 746,004.60 × 216,709.20
  4. Step 4: Simplify right side
    497,163.60x = 161,666,060,062.32
  5. Step 5: Solve for x
    x = 161,666,060,062.32/497,163.60
  6. Step 6: Final answer
    x = 325,176.78

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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.