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Finding the Fourth Proportional to 299,354.96, 413,080.44 and 165,210.32

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Solution

The fourth proportional to 299,354.96, 413,080.44 and 165,210.32 is: 227,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,354.96 : 413,080.44 = 165,210.32 : x
  2. Step 2: Convert to fraction form
    299,354.96/413,080.44 = 165,210.32/x
  3. Step 3: Cross multiply
    299,354.96x = 413,080.44 × 165,210.32
  4. Step 4: Simplify right side
    299,354.96x = 68,245,151,678.14
  5. Step 5: Solve for x
    x = 68,245,151,678.14/299,354.96
  6. Step 6: Final answer
    x = 227,974.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.