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Finding the Fourth Proportional to 469,233.60, 705,162.60 and 411,496.80

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Solution

The fourth proportional to 469,233.60, 705,162.60 and 411,496.80 is: 618,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,233.60 : 705,162.60 = 411,496.80 : x
  2. Step 2: Convert to fraction form
    469,233.60/705,162.60 = 411,496.80/x
  3. Step 3: Cross multiply
    469,233.60x = 705,162.60 × 411,496.80
  4. Step 4: Simplify right side
    469,233.60x = 290,172,153,379.68
  5. Step 5: Solve for x
    x = 290,172,153,379.68/469,233.60
  6. Step 6: Final answer
    x = 618,395.94

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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.