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Finding the Fourth Proportional to 295,508.72, 407,821.88 and 164,706.72

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Solution

The fourth proportional to 295,508.72, 407,821.88 and 164,706.72 is: 227,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,508.72 : 407,821.88 = 164,706.72 : x
  2. Step 2: Convert to fraction form
    295,508.72/407,821.88 = 164,706.72/x
  3. Step 3: Cross multiply
    295,508.72x = 407,821.88 × 164,706.72
  4. Step 4: Simplify right side
    295,508.72x = 67,171,004,199.03
  5. Step 5: Solve for x
    x = 67,171,004,199.03/295,508.72
  6. Step 6: Final answer
    x = 227,306.34

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