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Finding the Fourth Proportional to 400,505.40, 601,098.30 and 164,017.80

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Solution

The fourth proportional to 400,505.40, 601,098.30 and 164,017.80 is: 246,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,505.40 : 601,098.30 = 164,017.80 : x
  2. Step 2: Convert to fraction form
    400,505.40/601,098.30 = 164,017.80/x
  3. Step 3: Cross multiply
    400,505.40x = 601,098.30 × 164,017.80
  4. Step 4: Simplify right side
    400,505.40x = 98,590,820,749.74
  5. Step 5: Solve for x
    x = 98,590,820,749.74/400,505.40
  6. Step 6: Final answer
    x = 246,166.02

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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.