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Finding the Fourth Proportional to 289,787.70, 434,098.35 and 201,141.30

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Solution

The fourth proportional to 289,787.70, 434,098.35 and 201,141.30 is: 301,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,787.70 : 434,098.35 = 201,141.30 : x
  2. Step 2: Convert to fraction form
    289,787.70/434,098.35 = 201,141.30/x
  3. Step 3: Cross multiply
    289,787.70x = 434,098.35 × 201,141.30
  4. Step 4: Simplify right side
    289,787.70x = 87,315,106,446.86
  5. Step 5: Solve for x
    x = 87,315,106,446.86/289,787.70
  6. Step 6: Final answer
    x = 301,307.15

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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.