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Finding the Fourth Proportional to 471,690.44, 651,365.28 and 299,663.72

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Solution

The fourth proportional to 471,690.44, 651,365.28 and 299,663.72 is: 413,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,690.44 : 651,365.28 = 299,663.72 : x
  2. Step 2: Convert to fraction form
    471,690.44/651,365.28 = 299,663.72/x
  3. Step 3: Cross multiply
    471,690.44x = 651,365.28 × 299,663.72
  4. Step 4: Simplify right side
    471,690.44x = 195,190,542,883.64
  5. Step 5: Solve for x
    x = 195,190,542,883.64/471,690.44
  6. Step 6: Final answer
    x = 413,810.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.