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Finding the Fourth Proportional to 289,098.40, 433,647.60 and 245,358.40

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Solution

The fourth proportional to 289,098.40, 433,647.60 and 245,358.40 is: 368,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,098.40 : 433,647.60 = 245,358.40 : x
  2. Step 2: Convert to fraction form
    289,098.40/433,647.60 = 245,358.40/x
  3. Step 3: Cross multiply
    289,098.40x = 433,647.60 × 245,358.40
  4. Step 4: Simplify right side
    289,098.40x = 106,399,081,299.84
  5. Step 5: Solve for x
    x = 106,399,081,299.84/289,098.40
  6. Step 6: Final answer
    x = 368,037.60

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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.