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Finding the Fourth Proportional to 505,871.74, 758,926.82 and 164,313.64

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Solution

The fourth proportional to 505,871.74, 758,926.82 and 164,313.64 is: 246,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,871.74 : 758,926.82 = 164,313.64 : x
  2. Step 2: Convert to fraction form
    505,871.74/758,926.82 = 164,313.64/x
  3. Step 3: Cross multiply
    505,871.74x = 758,926.82 × 164,313.64
  4. Step 4: Simplify right side
    505,871.74x = 124,702,028,287.83
  5. Step 5: Solve for x
    x = 124,702,028,287.83/505,871.74
  6. Step 6: Final answer
    x = 246,509.18

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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.