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Finding the Fourth Proportional to 393,765.42, 590,656.50 and 141,062.34

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Solution

The fourth proportional to 393,765.42, 590,656.50 and 141,062.34 is: 211,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,765.42 : 590,656.50 = 141,062.34 : x
  2. Step 2: Convert to fraction form
    393,765.42/590,656.50 = 141,062.34/x
  3. Step 3: Cross multiply
    393,765.42x = 590,656.50 × 141,062.34
  4. Step 4: Simplify right side
    393,765.42x = 83,319,388,026.21
  5. Step 5: Solve for x
    x = 83,319,388,026.21/393,765.42
  6. Step 6: Final answer
    x = 211,596.51

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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.