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Finding the Fourth Proportional to 469,271.56, 703,893.56 and 114,280.42

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Solution

The fourth proportional to 469,271.56, 703,893.56 and 114,280.42 is: 171,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,271.56 : 703,893.56 = 114,280.42 : x
  2. Step 2: Convert to fraction form
    469,271.56/703,893.56 = 114,280.42/x
  3. Step 3: Cross multiply
    469,271.56x = 703,893.56 × 114,280.42
  4. Step 4: Simplify right side
    469,271.56x = 80,441,251,672.10
  5. Step 5: Solve for x
    x = 80,441,251,672.10/469,271.56
  6. Step 6: Final answer
    x = 171,417.27

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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.