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Finding the Fourth Proportional to 402,634.96, 603,509.56 and 165,848.47

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Solution

The fourth proportional to 402,634.96, 603,509.56 and 165,848.47 is: 248,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,634.96 : 603,509.56 = 165,848.47 : x
  2. Step 2: Convert to fraction form
    402,634.96/603,509.56 = 165,848.47/x
  3. Step 3: Cross multiply
    402,634.96x = 603,509.56 × 165,848.47
  4. Step 4: Simplify right side
    402,634.96x = 100,091,135,232.98
  5. Step 5: Solve for x
    x = 100,091,135,232.98/402,634.96
  6. Step 6: Final answer
    x = 248,590.28

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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.