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Finding the Fourth Proportional to 428,053.86, 642,154.75 and 143,771.87

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Solution

The fourth proportional to 428,053.86, 642,154.75 and 143,771.87 is: 215,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,053.86 : 642,154.75 = 143,771.87 : x
  2. Step 2: Convert to fraction form
    428,053.86/642,154.75 = 143,771.87/x
  3. Step 3: Cross multiply
    428,053.86x = 642,154.75 × 143,771.87
  4. Step 4: Simplify right side
    428,053.86x = 92,323,790,482.84
  5. Step 5: Solve for x
    x = 92,323,790,482.84/428,053.86
  6. Step 6: Final answer
    x = 215,682.65

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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.