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Finding the Fourth Proportional to 432,238.78, 596,465.23 and 241,264.47

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Solution

The fourth proportional to 432,238.78, 596,465.23 and 241,264.47 is: 332,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,238.78 : 596,465.23 = 241,264.47 : x
  2. Step 2: Convert to fraction form
    432,238.78/596,465.23 = 241,264.47/x
  3. Step 3: Cross multiply
    432,238.78x = 596,465.23 × 241,264.47
  4. Step 4: Simplify right side
    432,238.78x = 143,905,867,589.38
  5. Step 5: Solve for x
    x = 143,905,867,589.38/432,238.78
  6. Step 6: Final answer
    x = 332,931.41

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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.