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Finding the Fourth Proportional to 642,197.13, 886,232.10 and 355,735.77

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Solution

The fourth proportional to 642,197.13, 886,232.10 and 355,735.77 is: 490,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,197.13 : 886,232.10 = 355,735.77 : x
  2. Step 2: Convert to fraction form
    642,197.13/886,232.10 = 355,735.77/x
  3. Step 3: Cross multiply
    642,197.13x = 886,232.10 × 355,735.77
  4. Step 4: Simplify right side
    642,197.13x = 315,264,454,061.06
  5. Step 5: Solve for x
    x = 315,264,454,061.06/642,197.13
  6. Step 6: Final answer
    x = 490,915.39

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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.