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Finding the Fourth Proportional to 495,200.40, 742,714.20 and 179,494.80

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Solution

The fourth proportional to 495,200.40, 742,714.20 and 179,494.80 is: 269,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,200.40 : 742,714.20 = 179,494.80 : x
  2. Step 2: Convert to fraction form
    495,200.40/742,714.20 = 179,494.80/x
  3. Step 3: Cross multiply
    495,200.40x = 742,714.20 × 179,494.80
  4. Step 4: Simplify right side
    495,200.40x = 133,313,336,786.16
  5. Step 5: Solve for x
    x = 133,313,336,786.16/495,200.40
  6. Step 6: Final answer
    x = 269,210.88

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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.