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Finding the Fourth Proportional to 517,915.20, 776,898.40 and 269,083.20

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Solution

The fourth proportional to 517,915.20, 776,898.40 and 269,083.20 is: 403,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,915.20 : 776,898.40 = 269,083.20 : x
  2. Step 2: Convert to fraction form
    517,915.20/776,898.40 = 269,083.20/x
  3. Step 3: Cross multiply
    517,915.20x = 776,898.40 × 269,083.20
  4. Step 4: Simplify right side
    517,915.20x = 209,050,307,546.88
  5. Step 5: Solve for x
    x = 209,050,307,546.88/517,915.20
  6. Step 6: Final answer
    x = 403,638.10

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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.