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Finding the Fourth Proportional to 432,343.80, 596,572.74 and 241,353

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Solution

The fourth proportional to 432,343.80, 596,572.74 and 241,353 is: 333,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,343.80 : 596,572.74 = 241,353 : x
  2. Step 2: Convert to fraction form
    432,343.80/596,572.74 = 241,353/x
  3. Step 3: Cross multiply
    432,343.80x = 596,572.74 × 241,353
  4. Step 4: Simplify right side
    432,343.80x = 143,984,620,517.22
  5. Step 5: Solve for x
    x = 143,984,620,517.22/432,343.80
  6. Step 6: Final answer
    x = 333,032.69

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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.