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Finding the Fourth Proportional to 492,271.65, 738,407.40 and 118,294.65

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Solution

The fourth proportional to 492,271.65, 738,407.40 and 118,294.65 is: 177,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,271.65 : 738,407.40 = 118,294.65 : x
  2. Step 2: Convert to fraction form
    492,271.65/738,407.40 = 118,294.65/x
  3. Step 3: Cross multiply
    492,271.65x = 738,407.40 × 118,294.65
  4. Step 4: Simplify right side
    492,271.65x = 87,349,644,940.41
  5. Step 5: Solve for x
    x = 87,349,644,940.41/492,271.65
  6. Step 6: Final answer
    x = 177,441.96

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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.