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Finding the Fourth Proportional to 303,629.80, 455,444.70 and 145,820.20

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Solution

The fourth proportional to 303,629.80, 455,444.70 and 145,820.20 is: 218,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,629.80 : 455,444.70 = 145,820.20 : x
  2. Step 2: Convert to fraction form
    303,629.80/455,444.70 = 145,820.20/x
  3. Step 3: Cross multiply
    303,629.80x = 455,444.70 × 145,820.20
  4. Step 4: Simplify right side
    303,629.80x = 66,413,037,242.94
  5. Step 5: Solve for x
    x = 66,413,037,242.94/303,629.80
  6. Step 6: Final answer
    x = 218,730.30

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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.