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Finding the Fourth Proportional to 338,606.81, 507,952.18 and 110,824.18

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Solution

The fourth proportional to 338,606.81, 507,952.18 and 110,824.18 is: 166,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,606.81 : 507,952.18 = 110,824.18 : x
  2. Step 2: Convert to fraction form
    338,606.81/507,952.18 = 110,824.18/x
  3. Step 3: Cross multiply
    338,606.81x = 507,952.18 × 110,824.18
  4. Step 4: Simplify right side
    338,606.81x = 56,293,383,827.71
  5. Step 5: Solve for x
    x = 56,293,383,827.71/338,606.81
  6. Step 6: Final answer
    x = 166,250.00

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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.