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Finding the Fourth Proportional to 338,597.28, 507,921.84 and 113,958.36

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Solution

The fourth proportional to 338,597.28, 507,921.84 and 113,958.36 is: 170,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,597.28 : 507,921.84 = 113,958.36 : x
  2. Step 2: Convert to fraction form
    338,597.28/507,921.84 = 113,958.36/x
  3. Step 3: Cross multiply
    338,597.28x = 507,921.84 × 113,958.36
  4. Step 4: Simplify right side
    338,597.28x = 57,881,939,894.58
  5. Step 5: Solve for x
    x = 57,881,939,894.58/338,597.28
  6. Step 6: Final answer
    x = 170,946.26

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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.