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Finding the Fourth Proportional to 314,034.52, 433,355.16 and 170,794.48

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Solution

The fourth proportional to 314,034.52, 433,355.16 and 170,794.48 is: 235,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,034.52 : 433,355.16 = 170,794.48 : x
  2. Step 2: Convert to fraction form
    314,034.52/433,355.16 = 170,794.48/x
  3. Step 3: Cross multiply
    314,034.52x = 433,355.16 × 170,794.48
  4. Step 4: Simplify right side
    314,034.52x = 74,014,669,207.52
  5. Step 5: Solve for x
    x = 74,014,669,207.52/314,034.52
  6. Step 6: Final answer
    x = 235,689.60

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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.