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Finding the Fourth Proportional to 493,330.36, 739,372.50 and 411,215.80

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Solution

The fourth proportional to 493,330.36, 739,372.50 and 411,215.80 is: 616,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,330.36 : 739,372.50 = 411,215.80 : x
  2. Step 2: Convert to fraction form
    493,330.36/739,372.50 = 411,215.80/x
  3. Step 3: Cross multiply
    493,330.36x = 739,372.50 × 411,215.80
  4. Step 4: Simplify right side
    493,330.36x = 304,041,654,085.50
  5. Step 5: Solve for x
    x = 304,041,654,085.50/493,330.36
  6. Step 6: Final answer
    x = 616,304.36

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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.