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Finding the Fourth Proportional to 492,304.65, 738,391.35 and 137,288.94

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Solution

The fourth proportional to 492,304.65, 738,391.35 and 137,288.94 is: 205,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,304.65 : 738,391.35 = 137,288.94 : x
  2. Step 2: Convert to fraction form
    492,304.65/738,391.35 = 137,288.94/x
  3. Step 3: Cross multiply
    492,304.65x = 738,391.35 × 137,288.94
  4. Step 4: Simplify right side
    492,304.65x = 101,372,965,746.67
  5. Step 5: Solve for x
    x = 101,372,965,746.67/492,304.65
  6. Step 6: Final answer
    x = 205,915.11

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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.