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Finding the Fourth Proportional to 314,169.81, 433,541.48 and 170,930.00

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Solution

The fourth proportional to 314,169.81, 433,541.48 and 170,930.00 is: 235,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,169.81 : 433,541.48 = 170,930.00 : x
  2. Step 2: Convert to fraction form
    314,169.81/433,541.48 = 170,930.00/x
  3. Step 3: Cross multiply
    314,169.81x = 433,541.48 × 170,930.00
  4. Step 4: Simplify right side
    314,169.81x = 74,105,242,154.04
  5. Step 5: Solve for x
    x = 74,105,242,154.04/314,169.81
  6. Step 6: Final answer
    x = 235,876.39

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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.