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Finding the Fourth Proportional to 264,829.80, 397,244.70 and 152,855.40

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Solution

The fourth proportional to 264,829.80, 397,244.70 and 152,855.40 is: 229,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.80 : 397,244.70 = 152,855.40 : x
  2. Step 2: Convert to fraction form
    264,829.80/397,244.70 = 152,855.40/x
  3. Step 3: Cross multiply
    264,829.80x = 397,244.70 × 152,855.40
  4. Step 4: Simplify right side
    264,829.80x = 60,720,997,516.38
  5. Step 5: Solve for x
    x = 60,720,997,516.38/264,829.80
  6. Step 6: Final answer
    x = 229,283.10

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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.