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Finding the Fourth Proportional to 546,965.34, 820,449.96 and 167,886.11

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Solution

The fourth proportional to 546,965.34, 820,449.96 and 167,886.11 is: 251,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,965.34 : 820,449.96 = 167,886.11 : x
  2. Step 2: Convert to fraction form
    546,965.34/820,449.96 = 167,886.11/x
  3. Step 3: Cross multiply
    546,965.34x = 820,449.96 × 167,886.11
  4. Step 4: Simplify right side
    546,965.34x = 137,742,149,402.51
  5. Step 5: Solve for x
    x = 137,742,149,402.51/546,965.34
  6. Step 6: Final answer
    x = 251,829.76

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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.