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Finding the Fourth Proportional to 297,967.51, 446,965.04 and 98,305.34

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Solution

The fourth proportional to 297,967.51, 446,965.04 and 98,305.34 is: 147,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.51 : 446,965.04 = 98,305.34 : x
  2. Step 2: Convert to fraction form
    297,967.51/446,965.04 = 98,305.34/x
  3. Step 3: Cross multiply
    297,967.51x = 446,965.04 × 98,305.34
  4. Step 4: Simplify right side
    297,967.51x = 43,939,050,851.20
  5. Step 5: Solve for x
    x = 43,939,050,851.20/297,967.51
  6. Step 6: Final answer
    x = 147,462.56

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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.