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Finding the Fourth Proportional to 311,784.72, 467,561.60 and 112,051.28

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Solution

The fourth proportional to 311,784.72, 467,561.60 and 112,051.28 is: 168,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,784.72 : 467,561.60 = 112,051.28 : x
  2. Step 2: Convert to fraction form
    311,784.72/467,561.60 = 112,051.28/x
  3. Step 3: Cross multiply
    311,784.72x = 467,561.60 × 112,051.28
  4. Step 4: Simplify right side
    311,784.72x = 52,390,875,758.85
  5. Step 5: Solve for x
    x = 52,390,875,758.85/311,784.72
  6. Step 6: Final answer
    x = 168,035.42

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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.