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Finding the Fourth Proportional to 596,709.60, 894,286.80 and 241,432.80

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Solution

The fourth proportional to 596,709.60, 894,286.80 and 241,432.80 is: 361,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,709.60 : 894,286.80 = 241,432.80 : x
  2. Step 2: Convert to fraction form
    596,709.60/894,286.80 = 241,432.80/x
  3. Step 3: Cross multiply
    596,709.60x = 894,286.80 × 241,432.80
  4. Step 4: Simplify right side
    596,709.60x = 215,910,166,127.04
  5. Step 5: Solve for x
    x = 215,910,166,127.04/596,709.60
  6. Step 6: Final answer
    x = 361,834.58

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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.