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Finding the Fourth Proportional to 432,352.72, 596,656.80 and 271,214.56

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Solution

The fourth proportional to 432,352.72, 596,656.80 and 271,214.56 is: 374,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,352.72 : 596,656.80 = 271,214.56 : x
  2. Step 2: Convert to fraction form
    432,352.72/596,656.80 = 271,214.56/x
  3. Step 3: Cross multiply
    432,352.72x = 596,656.80 × 271,214.56
  4. Step 4: Simplify right side
    432,352.72x = 161,822,011,483.01
  5. Step 5: Solve for x
    x = 161,822,011,483.01/432,352.72
  6. Step 6: Final answer
    x = 374,282.39

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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.