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Finding the Fourth Proportional to 432,902.14, 597,393.81 and 241,917.10

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Solution

The fourth proportional to 432,902.14, 597,393.81 and 241,917.10 is: 333,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,902.14 : 597,393.81 = 241,917.10 : x
  2. Step 2: Convert to fraction form
    432,902.14/597,393.81 = 241,917.10/x
  3. Step 3: Cross multiply
    432,902.14x = 597,393.81 × 241,917.10
  4. Step 4: Simplify right side
    432,902.14x = 144,519,778,073.15
  5. Step 5: Solve for x
    x = 144,519,778,073.15/432,902.14
  6. Step 6: Final answer
    x = 333,839.37

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1.5x scale

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.