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Finding the Fourth Proportional to 455,528.64, 683,222.88 and 151,928.16

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Solution

The fourth proportional to 455,528.64, 683,222.88 and 151,928.16 is: 227,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,528.64 : 683,222.88 = 151,928.16 : x
  2. Step 2: Convert to fraction form
    455,528.64/683,222.88 = 151,928.16/x
  3. Step 3: Cross multiply
    455,528.64x = 683,222.88 × 151,928.16
  4. Step 4: Simplify right side
    455,528.64x = 103,800,795,028.30
  5. Step 5: Solve for x
    x = 103,800,795,028.30/455,528.64
  6. Step 6: Final answer
    x = 227,868.87

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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.