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Finding the Fourth Proportional to 432,214.83, 596,512.89 and 241,267.86

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Solution

The fourth proportional to 432,214.83, 596,512.89 and 241,267.86 is: 332,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,214.83 : 596,512.89 = 241,267.86 : x
  2. Step 2: Convert to fraction form
    432,214.83/596,512.89 = 241,267.86/x
  3. Step 3: Cross multiply
    432,214.83x = 596,512.89 × 241,267.86
  4. Step 4: Simplify right side
    432,214.83x = 143,919,388,432.72
  5. Step 5: Solve for x
    x = 143,919,388,432.72/432,214.83
  6. Step 6: Final answer
    x = 332,981.14

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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.