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Finding the Fourth Proportional to 406,203.62, 609,333.06 and 106,683.66

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Solution

The fourth proportional to 406,203.62, 609,333.06 and 106,683.66 is: 160,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,203.62 : 609,333.06 = 106,683.66 : x
  2. Step 2: Convert to fraction form
    406,203.62/609,333.06 = 106,683.66/x
  3. Step 3: Cross multiply
    406,203.62x = 609,333.06 × 106,683.66
  4. Step 4: Simplify right side
    406,203.62x = 65,005,880,999.80
  5. Step 5: Solve for x
    x = 65,005,880,999.80/406,203.62
  6. Step 6: Final answer
    x = 160,032.75

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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.