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Finding the Fourth Proportional to 492,938.60, 738,964.89 and 177,174

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Solution

The fourth proportional to 492,938.60, 738,964.89 and 177,174 is: 265,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,938.60 : 738,964.89 = 177,174 : x
  2. Step 2: Convert to fraction form
    492,938.60/738,964.89 = 177,174/x
  3. Step 3: Cross multiply
    492,938.60x = 738,964.89 × 177,174
  4. Step 4: Simplify right side
    492,938.60x = 130,925,365,420.86
  5. Step 5: Solve for x
    x = 130,925,365,420.86/492,938.60
  6. Step 6: Final answer
    x = 265,601.77

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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.