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Finding the Fourth Proportional to 289,098.40, 433,647.60 and 268,103.20

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Solution

The fourth proportional to 289,098.40, 433,647.60 and 268,103.20 is: 402,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,098.40 : 433,647.60 = 268,103.20 : x
  2. Step 2: Convert to fraction form
    289,098.40/433,647.60 = 268,103.20/x
  3. Step 3: Cross multiply
    289,098.40x = 433,647.60 × 268,103.20
  4. Step 4: Simplify right side
    289,098.40x = 116,262,309,232.32
  5. Step 5: Solve for x
    x = 116,262,309,232.32/289,098.40
  6. Step 6: Final answer
    x = 402,154.80

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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.