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Finding the Fourth Proportional to 297,535.80, 446,346.90 and 97,865.40

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Solution

The fourth proportional to 297,535.80, 446,346.90 and 97,865.40 is: 146,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,535.80 : 446,346.90 = 97,865.40 : x
  2. Step 2: Convert to fraction form
    297,535.80/446,346.90 = 97,865.40/x
  3. Step 3: Cross multiply
    297,535.80x = 446,346.90 × 97,865.40
  4. Step 4: Simplify right side
    297,535.80x = 43,681,917,907.26
  5. Step 5: Solve for x
    x = 43,681,917,907.26/297,535.80
  6. Step 6: Final answer
    x = 146,812.31

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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.