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Finding the Fourth Proportional to 432,188.81, 596,462.01 and 241,219.97

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Solution

The fourth proportional to 432,188.81, 596,462.01 and 241,219.97 is: 332,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,188.81 : 596,462.01 = 241,219.97 : x
  2. Step 2: Convert to fraction form
    432,188.81/596,462.01 = 241,219.97/x
  3. Step 3: Cross multiply
    432,188.81x = 596,462.01 × 241,219.97
  4. Step 4: Simplify right side
    432,188.81x = 143,878,548,158.34
  5. Step 5: Solve for x
    x = 143,878,548,158.34/432,188.81
  6. Step 6: Final answer
    x = 332,906.69

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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.