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Finding the Fourth Proportional to 492,274.15, 738,411.14 and 118,297.15

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Solution

The fourth proportional to 492,274.15, 738,411.14 and 118,297.15 is: 177,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,274.15 : 738,411.14 = 118,297.15 : x
  2. Step 2: Convert to fraction form
    492,274.15/738,411.14 = 118,297.15/x
  3. Step 3: Cross multiply
    492,274.15x = 738,411.14 × 118,297.15
  4. Step 4: Simplify right side
    492,274.15x = 87,351,931,839.97
  5. Step 5: Solve for x
    x = 87,351,931,839.97/492,274.15
  6. Step 6: Final answer
    x = 177,445.70

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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.