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Finding the Fourth Proportional to 612,629.68, 918,944.84 and 233,462

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Solution

The fourth proportional to 612,629.68, 918,944.84 and 233,462 is: 350,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,629.68 : 918,944.84 = 233,462 : x
  2. Step 2: Convert to fraction form
    612,629.68/918,944.84 = 233,462/x
  3. Step 3: Cross multiply
    612,629.68x = 918,944.84 × 233,462
  4. Step 4: Simplify right side
    612,629.68x = 214,538,700,236.08
  5. Step 5: Solve for x
    x = 214,538,700,236.08/612,629.68
  6. Step 6: Final answer
    x = 350,193.12

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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.