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Finding the Fourth Proportional to 501,713.10, 751,549.05 and 311,589.90

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Solution

The fourth proportional to 501,713.10, 751,549.05 and 311,589.90 is: 466,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,713.10 : 751,549.05 = 311,589.90 : x
  2. Step 2: Convert to fraction form
    501,713.10/751,549.05 = 311,589.90/x
  3. Step 3: Cross multiply
    501,713.10x = 751,549.05 × 311,589.90
  4. Step 4: Simplify right side
    501,713.10x = 234,175,093,334.60
  5. Step 5: Solve for x
    x = 234,175,093,334.60/501,713.10
  6. Step 6: Final answer
    x = 466,751.00

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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.