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Finding the Fourth Proportional to 314,339.31, 433,825.20 and 176,540.88

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Solution

The fourth proportional to 314,339.31, 433,825.20 and 176,540.88 is: 243,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,339.31 : 433,825.20 = 176,540.88 : x
  2. Step 2: Convert to fraction form
    314,339.31/433,825.20 = 176,540.88/x
  3. Step 3: Cross multiply
    314,339.31x = 433,825.20 × 176,540.88
  4. Step 4: Simplify right side
    314,339.31x = 76,587,882,574.18
  5. Step 5: Solve for x
    x = 76,587,882,574.18/314,339.31
  6. Step 6: Final answer
    x = 243,647.17

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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.