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Finding the Fourth Proportional to 297,905.42, 411,085.05 and 175,378.34

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Solution

The fourth proportional to 297,905.42, 411,085.05 and 175,378.34 is: 242,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,905.42 : 411,085.05 = 175,378.34 : x
  2. Step 2: Convert to fraction form
    297,905.42/411,085.05 = 175,378.34/x
  3. Step 3: Cross multiply
    297,905.42x = 411,085.05 × 175,378.34
  4. Step 4: Simplify right side
    297,905.42x = 72,095,413,667.82
  5. Step 5: Solve for x
    x = 72,095,413,667.82/297,905.42
  6. Step 6: Final answer
    x = 242,007.73

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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.