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Finding the Fourth Proportional to 264,799.80, 397,199.70 and 152,825.40

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Solution

The fourth proportional to 264,799.80, 397,199.70 and 152,825.40 is: 229,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,799.80 : 397,199.70 = 152,825.40 : x
  2. Step 2: Convert to fraction form
    264,799.80/397,199.70 = 152,825.40/x
  3. Step 3: Cross multiply
    264,799.80x = 397,199.70 × 152,825.40
  4. Step 4: Simplify right side
    264,799.80x = 60,702,203,032.38
  5. Step 5: Solve for x
    x = 60,702,203,032.38/264,799.80
  6. Step 6: Final answer
    x = 229,238.10

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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.