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Finding the Fourth Proportional to 513,915.13, 709,194.28 and 284,467.49

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Solution

The fourth proportional to 513,915.13, 709,194.28 and 284,467.49 is: 392,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,915.13 : 709,194.28 = 284,467.49 : x
  2. Step 2: Convert to fraction form
    513,915.13/709,194.28 = 284,467.49/x
  3. Step 3: Cross multiply
    513,915.13x = 709,194.28 × 284,467.49
  4. Step 4: Simplify right side
    513,915.13x = 201,742,716,753.96
  5. Step 5: Solve for x
    x = 201,742,716,753.96/513,915.13
  6. Step 6: Final answer
    x = 392,560.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.