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Finding the Fourth Proportional to 616,531.06, 925,321.49 and 242,816.50

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Solution

The fourth proportional to 616,531.06, 925,321.49 and 242,816.50 is: 364,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,531.06 : 925,321.49 = 242,816.50 : x
  2. Step 2: Convert to fraction form
    616,531.06/925,321.49 = 242,816.50/x
  3. Step 3: Cross multiply
    616,531.06x = 925,321.49 × 242,816.50
  4. Step 4: Simplify right side
    616,531.06x = 224,683,325,576.59
  5. Step 5: Solve for x
    x = 224,683,325,576.59/616,531.06
  6. Step 6: Final answer
    x = 364,431.48

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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.