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Finding the Fourth Proportional to 400,500.90, 601,091.55 and 164,013.30

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Solution

The fourth proportional to 400,500.90, 601,091.55 and 164,013.30 is: 246,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,500.90 : 601,091.55 = 164,013.30 : x
  2. Step 2: Convert to fraction form
    400,500.90/601,091.55 = 164,013.30/x
  3. Step 3: Cross multiply
    400,500.90x = 601,091.55 × 164,013.30
  4. Step 4: Simplify right side
    400,500.90x = 98,587,008,717.62
  5. Step 5: Solve for x
    x = 98,587,008,717.62/400,500.90
  6. Step 6: Final answer
    x = 246,159.27

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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.