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Finding the Fourth Proportional to 492,864.16, 739,297.05 and 118,887.16

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Solution

The fourth proportional to 492,864.16, 739,297.05 and 118,887.16 is: 178,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864.16 : 739,297.05 = 118,887.16 : x
  2. Step 2: Convert to fraction form
    492,864.16/739,297.05 = 118,887.16/x
  3. Step 3: Cross multiply
    492,864.16x = 739,297.05 × 118,887.16
  4. Step 4: Simplify right side
    492,864.16x = 87,892,926,670.88
  5. Step 5: Solve for x
    x = 87,892,926,670.88/492,864.16
  6. Step 6: Final answer
    x = 178,330.94

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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.