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Finding the Fourth Proportional to 400,502.90, 601,094.55 and 164,015.30

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Solution

The fourth proportional to 400,502.90, 601,094.55 and 164,015.30 is: 246,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,502.90 : 601,094.55 = 164,015.30 : x
  2. Step 2: Convert to fraction form
    400,502.90/601,094.55 = 164,015.30/x
  3. Step 3: Cross multiply
    400,502.90x = 601,094.55 × 164,015.30
  4. Step 4: Simplify right side
    400,502.90x = 98,588,702,946.62
  5. Step 5: Solve for x
    x = 98,588,702,946.62/400,502.90
  6. Step 6: Final answer
    x = 246,162.27

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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.