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Finding the Fourth Proportional to 432,902.64, 597,394.50 and 241,917.60

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Solution

The fourth proportional to 432,902.64, 597,394.50 and 241,917.60 is: 333,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,902.64 : 597,394.50 = 241,917.60 : x
  2. Step 2: Convert to fraction form
    432,902.64/597,394.50 = 241,917.60/x
  3. Step 3: Cross multiply
    432,902.64x = 597,394.50 × 241,917.60
  4. Step 4: Simplify right side
    432,902.64x = 144,520,243,693.20
  5. Step 5: Solve for x
    x = 144,520,243,693.20/432,902.64
  6. Step 6: Final answer
    x = 333,840.06

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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.