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Finding the Fourth Proportional to 428,056.80, 641,624.40 and 161,714.40

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Solution

The fourth proportional to 428,056.80, 641,624.40 and 161,714.40 is: 242,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,056.80 : 641,624.40 = 161,714.40 : x
  2. Step 2: Convert to fraction form
    428,056.80/641,624.40 = 161,714.40/x
  3. Step 3: Cross multiply
    428,056.80x = 641,624.40 × 161,714.40
  4. Step 4: Simplify right side
    428,056.80x = 103,759,904,871.36
  5. Step 5: Solve for x
    x = 103,759,904,871.36/428,056.80
  6. Step 6: Final answer
    x = 242,397.52

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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.