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Finding the Fourth Proportional to 405,152.60, 607,728.90 and 109,664.60

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Solution

The fourth proportional to 405,152.60, 607,728.90 and 109,664.60 is: 164,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,152.60 : 607,728.90 = 109,664.60 : x
  2. Step 2: Convert to fraction form
    405,152.60/607,728.90 = 109,664.60/x
  3. Step 3: Cross multiply
    405,152.60x = 607,728.90 × 109,664.60
  4. Step 4: Simplify right side
    405,152.60x = 66,646,346,726.94
  5. Step 5: Solve for x
    x = 66,646,346,726.94/405,152.60
  6. Step 6: Final answer
    x = 164,496.90

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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.