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Finding the Fourth Proportional to 297,269.76, 410,205.12 and 176,390.24

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Solution

The fourth proportional to 297,269.76, 410,205.12 and 176,390.24 is: 243,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,269.76 : 410,205.12 = 176,390.24 : x
  2. Step 2: Convert to fraction form
    297,269.76/410,205.12 = 176,390.24/x
  3. Step 3: Cross multiply
    297,269.76x = 410,205.12 × 176,390.24
  4. Step 4: Simplify right side
    297,269.76x = 72,356,179,566.03
  5. Step 5: Solve for x
    x = 72,356,179,566.03/297,269.76
  6. Step 6: Final answer
    x = 243,402.42

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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.