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Finding the Fourth Proportional to 454,662.46, 681,993.58 and 155,143.02

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Solution

The fourth proportional to 454,662.46, 681,993.58 and 155,143.02 is: 232,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,662.46 : 681,993.58 = 155,143.02 : x
  2. Step 2: Convert to fraction form
    454,662.46/681,993.58 = 155,143.02/x
  3. Step 3: Cross multiply
    454,662.46x = 681,993.58 × 155,143.02
  4. Step 4: Simplify right side
    454,662.46x = 105,806,543,621.81
  5. Step 5: Solve for x
    x = 105,806,543,621.81/454,662.46
  6. Step 6: Final answer
    x = 232,714.49

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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.