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Finding the Fourth Proportional to 289,211.60, 433,817.40 and 182,923.40

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Solution

The fourth proportional to 289,211.60, 433,817.40 and 182,923.40 is: 274,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.60 : 433,817.40 = 182,923.40 : x
  2. Step 2: Convert to fraction form
    289,211.60/433,817.40 = 182,923.40/x
  3. Step 3: Cross multiply
    289,211.60x = 433,817.40 × 182,923.40
  4. Step 4: Simplify right side
    289,211.60x = 79,355,353,787.16
  5. Step 5: Solve for x
    x = 79,355,353,787.16/289,211.60
  6. Step 6: Final answer
    x = 274,385.10

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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.