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Finding the Fourth Proportional to 307,590.30, 461,057.40 and 117,977.40

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Solution

The fourth proportional to 307,590.30, 461,057.40 and 117,977.40 is: 176,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,590.30 : 461,057.40 = 117,977.40 : x
  2. Step 2: Convert to fraction form
    307,590.30/461,057.40 = 117,977.40/x
  3. Step 3: Cross multiply
    307,590.30x = 461,057.40 × 117,977.40
  4. Step 4: Simplify right side
    307,590.30x = 54,394,353,302.76
  5. Step 5: Solve for x
    x = 54,394,353,302.76/307,590.30
  6. Step 6: Final answer
    x = 176,840.28

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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.