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Finding the Fourth Proportional to 432,835.80, 649,253.70 and 283,536.60

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Solution

The fourth proportional to 432,835.80, 649,253.70 and 283,536.60 is: 425,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,835.80 : 649,253.70 = 283,536.60 : x
  2. Step 2: Convert to fraction form
    432,835.80/649,253.70 = 283,536.60/x
  3. Step 3: Cross multiply
    432,835.80x = 649,253.70 × 283,536.60
  4. Step 4: Simplify right side
    432,835.80x = 184,087,186,635.42
  5. Step 5: Solve for x
    x = 184,087,186,635.42/432,835.80
  6. Step 6: Final answer
    x = 425,304.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.