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Finding the Fourth Proportional to 406,563.66, 609,927.30 and 140,334.48

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Solution

The fourth proportional to 406,563.66, 609,927.30 and 140,334.48 is: 210,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,563.66 : 609,927.30 = 140,334.48 : x
  2. Step 2: Convert to fraction form
    406,563.66/609,927.30 = 140,334.48/x
  3. Step 3: Cross multiply
    406,563.66x = 609,927.30 × 140,334.48
  4. Step 4: Simplify right side
    406,563.66x = 85,593,830,483.30
  5. Step 5: Solve for x
    x = 85,593,830,483.30/406,563.66
  6. Step 6: Final answer
    x = 210,529.96

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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.