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Finding the Fourth Proportional to 534,742, 802,162.44 and 174,914.88

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Solution

The fourth proportional to 534,742, 802,162.44 and 174,914.88 is: 262,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,742 : 802,162.44 = 174,914.88 : x
  2. Step 2: Convert to fraction form
    534,742/802,162.44 = 174,914.88/x
  3. Step 3: Cross multiply
    534,742x = 802,162.44 × 174,914.88
  4. Step 4: Simplify right side
    534,742x = 140,310,146,933.11
  5. Step 5: Solve for x
    x = 140,310,146,933.11/534,742
  6. Step 6: Final answer
    x = 262,388.49

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1.5x scale

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.