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Finding the Fourth Proportional to 297,458.24, 410,355.05 and 176,530.81

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Solution

The fourth proportional to 297,458.24, 410,355.05 and 176,530.81 is: 243,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458.24 : 410,355.05 = 176,530.81 : x
  2. Step 2: Convert to fraction form
    297,458.24/410,355.05 = 176,530.81/x
  3. Step 3: Cross multiply
    297,458.24x = 410,355.05 × 176,530.81
  4. Step 4: Simplify right side
    297,458.24x = 72,440,309,364.09
  5. Step 5: Solve for x
    x = 72,440,309,364.09/297,458.24
  6. Step 6: Final answer
    x = 243,531.02

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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.