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Finding the Fourth Proportional to 461,706, 637,193.16 and 260,540.88

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Solution

The fourth proportional to 461,706, 637,193.16 and 260,540.88 is: 359,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,706 : 637,193.16 = 260,540.88 : x
  2. Step 2: Convert to fraction form
    461,706/637,193.16 = 260,540.88/x
  3. Step 3: Cross multiply
    461,706x = 637,193.16 × 260,540.88
  4. Step 4: Simplify right side
    461,706x = 166,014,866,636.38
  5. Step 5: Solve for x
    x = 166,014,866,636.38/461,706
  6. Step 6: Final answer
    x = 359,568.35

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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.