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Finding the Fourth Proportional to 243,312.40, 364,720.20 and 164,434.60

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Solution

The fourth proportional to 243,312.40, 364,720.20 and 164,434.60 is: 246,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,312.40 : 364,720.20 = 164,434.60 : x
  2. Step 2: Convert to fraction form
    243,312.40/364,720.20 = 164,434.60/x
  3. Step 3: Cross multiply
    243,312.40x = 364,720.20 × 164,434.60
  4. Step 4: Simplify right side
    243,312.40x = 59,972,620,198.92
  5. Step 5: Solve for x
    x = 59,972,620,198.92/243,312.40
  6. Step 6: Final answer
    x = 246,484.03

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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.