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Finding the Fourth Proportional to 405,297.50, 607,946.26 and 109,809.50

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Solution

The fourth proportional to 405,297.50, 607,946.26 and 109,809.50 is: 164,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297.50 : 607,946.26 = 109,809.50 : x
  2. Step 2: Convert to fraction form
    405,297.50/607,946.26 = 109,809.50/x
  3. Step 3: Cross multiply
    405,297.50x = 607,946.26 × 109,809.50
  4. Step 4: Simplify right side
    405,297.50x = 66,758,274,837.47
  5. Step 5: Solve for x
    x = 66,758,274,837.47/405,297.50
  6. Step 6: Final answer
    x = 164,714.25

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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.