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Finding the Fourth Proportional to 405,257.30, 607,796.37 and 117,006.32

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Solution

The fourth proportional to 405,257.30, 607,796.37 and 117,006.32 is: 175,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,257.30 : 607,796.37 = 117,006.32 : x
  2. Step 2: Convert to fraction form
    405,257.30/607,796.37 = 117,006.32/x
  3. Step 3: Cross multiply
    405,257.30x = 607,796.37 × 117,006.32
  4. Step 4: Simplify right side
    405,257.30x = 71,116,013,524.08
  5. Step 5: Solve for x
    x = 71,116,013,524.08/405,257.30
  6. Step 6: Final answer
    x = 175,483.61

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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.