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Finding the Fourth Proportional to 314,429.36, 433,911.38 and 171,189.36

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Solution

The fourth proportional to 314,429.36, 433,911.38 and 171,189.36 is: 236,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,429.36 : 433,911.38 = 171,189.36 : x
  2. Step 2: Convert to fraction form
    314,429.36/433,911.38 = 171,189.36/x
  3. Step 3: Cross multiply
    314,429.36x = 433,911.38 × 171,189.36
  4. Step 4: Simplify right side
    314,429.36x = 74,281,010,582.97
  5. Step 5: Solve for x
    x = 74,281,010,582.97/314,429.36
  6. Step 6: Final answer
    x = 236,240.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.