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Finding the Fourth Proportional to 413,654.48, 620,407.80 and 110,050.28

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Solution

The fourth proportional to 413,654.48, 620,407.80 and 110,050.28 is: 165,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,654.48 : 620,407.80 = 110,050.28 : x
  2. Step 2: Convert to fraction form
    413,654.48/620,407.80 = 110,050.28/x
  3. Step 3: Cross multiply
    413,654.48x = 620,407.80 × 110,050.28
  4. Step 4: Simplify right side
    413,654.48x = 68,276,049,002.15
  5. Step 5: Solve for x
    x = 68,276,049,002.15/413,654.48
  6. Step 6: Final answer
    x = 165,055.75

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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.