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Finding the Fourth Proportional to 650,383.60, 975,721.20 and 201,125.20

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Solution

The fourth proportional to 650,383.60, 975,721.20 and 201,125.20 is: 301,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,383.60 : 975,721.20 = 201,125.20 : x
  2. Step 2: Convert to fraction form
    650,383.60/975,721.20 = 201,125.20/x
  3. Step 3: Cross multiply
    650,383.60x = 975,721.20 × 201,125.20
  4. Step 4: Simplify right side
    650,383.60x = 196,242,121,494.24
  5. Step 5: Solve for x
    x = 196,242,121,494.24/650,383.60
  6. Step 6: Final answer
    x = 301,732.89

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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.