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Finding the Fourth Proportional to 268,595.90, 402,456.45 and 197,737.10

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Solution

The fourth proportional to 268,595.90, 402,456.45 and 197,737.10 is: 296,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,595.90 : 402,456.45 = 197,737.10 : x
  2. Step 2: Convert to fraction form
    268,595.90/402,456.45 = 197,737.10/x
  3. Step 3: Cross multiply
    268,595.90x = 402,456.45 × 197,737.10
  4. Step 4: Simplify right side
    268,595.90x = 79,580,571,299.30
  5. Step 5: Solve for x
    x = 79,580,571,299.30/268,595.90
  6. Step 6: Final answer
    x = 296,283.64

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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.