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Finding the Fourth Proportional to 432,001.56, 596,163.87 and 241,023

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Solution

The fourth proportional to 432,001.56, 596,163.87 and 241,023 is: 332,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,001.56 : 596,163.87 = 241,023 : x
  2. Step 2: Convert to fraction form
    432,001.56/596,163.87 = 241,023/x
  3. Step 3: Cross multiply
    432,001.56x = 596,163.87 × 241,023
  4. Step 4: Simplify right side
    432,001.56x = 143,689,204,439.01
  5. Step 5: Solve for x
    x = 143,689,204,439.01/432,001.56
  6. Step 6: Final answer
    x = 332,612.70

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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.